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Finding the Third Proportional to 473,134,498 and 1,035,461,782

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Solution

The third proportional to 473,134,498 and 1,035,461,782 is: 2,266,123,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,134,498 : 1,035,461,782 = 1,035,461,782 : x
  2. Step 2: Convert to fraction form
    473,134,498/1,035,461,782 = 1,035,461,782/x
  3. Step 3: Cross multiply
    473,134,498x = 1,035,461,782 × 1,035,461,782
  4. Step 4: Simplify right side
    473,134,498x = 1,072,181,101,982,615,552
  5. Step 5: Solve for x
    x = 1,072,181,101,982,615,552/473,134,498
  6. Step 6: Final answer
    x = 2,266,123,283.16

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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.