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Finding the Third Proportional to 564,189,984 and 854,817,648

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Solution

The third proportional to 564,189,984 and 854,817,648 is: 1,295,154,526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,189,984 : 854,817,648 = 854,817,648 : x
  2. Step 2: Convert to fraction form
    564,189,984/854,817,648 = 854,817,648/x
  3. Step 3: Cross multiply
    564,189,984x = 854,817,648 × 854,817,648
  4. Step 4: Simplify right side
    564,189,984x = 730,713,211,332,251,904
  5. Step 5: Solve for x
    x = 730,713,211,332,251,904/564,189,984
  6. Step 6: Final answer
    x = 1,295,154,526.05

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Why These Related Problems?

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