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Finding the Third Proportional to 678,660,126 and 1,037,712,069

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Solution

The third proportional to 678,660,126 and 1,037,712,069 is: 1,586,724,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,660,126 : 1,037,712,069 = 1,037,712,069 : x
  2. Step 2: Convert to fraction form
    678,660,126/1,037,712,069 = 1,037,712,069/x
  3. Step 3: Cross multiply
    678,660,126x = 1,037,712,069 × 1,037,712,069
  4. Step 4: Simplify right side
    678,660,126x = 1,076,846,338,148,260,736
  5. Step 5: Solve for x
    x = 1,076,846,338,148,260,736/678,660,126
  6. Step 6: Final answer
    x = 1,586,724,041.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.