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Finding the Third Proportional to 659,159,820 and 897,663,164

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Solution

The third proportional to 659,159,820 and 897,663,164 is: 1,222,464,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,159,820 : 897,663,164 = 897,663,164 : x
  2. Step 2: Convert to fraction form
    659,159,820/897,663,164 = 897,663,164/x
  3. Step 3: Cross multiply
    659,159,820x = 897,663,164 × 897,663,164
  4. Step 4: Simplify right side
    659,159,820x = 805,799,156,002,490,880
  5. Step 5: Solve for x
    x = 805,799,156,002,490,880/659,159,820
  6. Step 6: Final answer
    x = 1,222,464,008.81

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.