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Finding the Third Proportional to 469,514,344 and 1,029,727,952

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Solution

The third proportional to 469,514,344 and 1,029,727,952 is: 2,258,375,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,514,344 : 1,029,727,952 = 1,029,727,952 : x
  2. Step 2: Convert to fraction form
    469,514,344/1,029,727,952 = 1,029,727,952/x
  3. Step 3: Cross multiply
    469,514,344x = 1,029,727,952 × 1,029,727,952
  4. Step 4: Simplify right side
    469,514,344x = 1,060,339,655,130,114,304
  5. Step 5: Solve for x
    x = 1,060,339,655,130,114,304/469,514,344
  6. Step 6: Final answer
    x = 2,258,375,422.78

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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.