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Finding the Third Proportional to 461,754,778 and 715,592,768

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Solution

The third proportional to 461,754,778 and 715,592,768 is: 1,108,971,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,754,778 : 715,592,768 = 715,592,768 : x
  2. Step 2: Convert to fraction form
    461,754,778/715,592,768 = 715,592,768/x
  3. Step 3: Cross multiply
    461,754,778x = 715,592,768 × 715,592,768
  4. Step 4: Simplify right side
    461,754,778x = 512,073,009,613,901,824
  5. Step 5: Solve for x
    x = 512,073,009,613,901,824/461,754,778
  6. Step 6: Final answer
    x = 1,108,971,761.66

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