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Finding the Third Proportional to 471,838,693 and 1,034,376,650

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Solution

The third proportional to 471,838,693 and 1,034,376,650 is: 2,267,586,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,838,693 : 1,034,376,650 = 1,034,376,650 : x
  2. Step 2: Convert to fraction form
    471,838,693/1,034,376,650 = 1,034,376,650/x
  3. Step 3: Cross multiply
    471,838,693x = 1,034,376,650 × 1,034,376,650
  4. Step 4: Simplify right side
    471,838,693x = 1,069,935,054,065,222,528
  5. Step 5: Solve for x
    x = 1,069,935,054,065,222,528/471,838,693
  6. Step 6: Final answer
    x = 2,267,586,507.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.