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Finding the Third Proportional to 678,660,134 and 1,037,712,082

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Solution

The third proportional to 678,660,134 and 1,037,712,082 is: 1,586,724,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,660,134 : 1,037,712,082 = 1,037,712,082 : x
  2. Step 2: Convert to fraction form
    678,660,134/1,037,712,082 = 1,037,712,082/x
  3. Step 3: Cross multiply
    678,660,134x = 1,037,712,082 × 1,037,712,082
  4. Step 4: Simplify right side
    678,660,134x = 1,076,846,365,128,774,784
  5. Step 5: Solve for x
    x = 1,076,846,365,128,774,784/678,660,134
  6. Step 6: Final answer
    x = 1,586,724,062.87

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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.