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Finding the Third Proportional to 564,229,329 and 871,498,707

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Solution

The third proportional to 564,229,329 and 871,498,707 is: 1,346,101,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,229,329 : 871,498,707 = 871,498,707 : x
  2. Step 2: Convert to fraction form
    564,229,329/871,498,707 = 871,498,707/x
  3. Step 3: Cross multiply
    564,229,329x = 871,498,707 × 871,498,707
  4. Step 4: Simplify right side
    564,229,329x = 759,509,996,302,671,872
  5. Step 5: Solve for x
    x = 759,509,996,302,671,872/564,229,329
  6. Step 6: Final answer
    x = 1,346,101,588.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.