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Finding the Third Proportional to 461,754,802 and 715,592,802

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Solution

The third proportional to 461,754,802 and 715,592,802 is: 1,108,971,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,754,802 : 715,592,802 = 715,592,802 : x
  2. Step 2: Convert to fraction form
    461,754,802/715,592,802 = 715,592,802/x
  3. Step 3: Cross multiply
    461,754,802x = 715,592,802 × 715,592,802
  4. Step 4: Simplify right side
    461,754,802x = 512,073,058,274,211,200
  5. Step 5: Solve for x
    x = 512,073,058,274,211,200/461,754,802
  6. Step 6: Final answer
    x = 1,108,971,809.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.