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Finding the Third Proportional to 690,514,320 and 1,053,006,174

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Solution

The third proportional to 690,514,320 and 1,053,006,174 is: 1,605,791,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,514,320 : 1,053,006,174 = 1,053,006,174 : x
  2. Step 2: Convert to fraction form
    690,514,320/1,053,006,174 = 1,053,006,174/x
  3. Step 3: Cross multiply
    690,514,320x = 1,053,006,174 × 1,053,006,174
  4. Step 4: Simplify right side
    690,514,320x = 1,108,822,002,482,118,272
  5. Step 5: Solve for x
    x = 1,108,822,002,482,118,272/690,514,320
  6. Step 6: Final answer
    x = 1,605,791,466.40

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.