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Finding the Third Proportional to 1,120,586,491 and 1,674,703,573

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Solution

The third proportional to 1,120,586,491 and 1,674,703,573 is: 2,502,825,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120,586,491 : 1,674,703,573 = 1,674,703,573 : x
  2. Step 2: Convert to fraction form
    1,120,586,491/1,674,703,573 = 1,674,703,573/x
  3. Step 3: Cross multiply
    1,120,586,491x = 1,674,703,573 × 1,674,703,573
  4. Step 4: Simplify right side
    1,120,586,491x = 2,804,632,057,418,966,528
  5. Step 5: Solve for x
    x = 2,804,632,057,418,966,528/1,120,586,491
  6. Step 6: Final answer
    x = 2,502,825,154.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.