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Finding the Third Proportional to 461,754,798 and 715,592,796

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Solution

The third proportional to 461,754,798 and 715,592,796 is: 1,108,971,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,754,798 : 715,592,796 = 715,592,796 : x
  2. Step 2: Convert to fraction form
    461,754,798/715,592,796 = 715,592,796/x
  3. Step 3: Cross multiply
    461,754,798x = 715,592,796 × 715,592,796
  4. Step 4: Simplify right side
    461,754,798x = 512,073,049,687,097,600
  5. Step 5: Solve for x
    x = 512,073,049,687,097,600/461,754,798
  6. Step 6: Final answer
    x = 1,108,971,800.41

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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.