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Finding the Third Proportional to 563,472 and 1,173,528

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Solution

The third proportional to 563,472 and 1,173,528 is: 2,444,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,472 : 1,173,528 = 1,173,528 : x
  2. Step 2: Convert to fraction form
    563,472/1,173,528 = 1,173,528/x
  3. Step 3: Cross multiply
    563,472x = 1,173,528 × 1,173,528
  4. Step 4: Simplify right side
    563,472x = 1,377,167,966,784
  5. Step 5: Solve for x
    x = 1,377,167,966,784/563,472
  6. Step 6: Final answer
    x = 2,444,075.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.