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Finding the Third Proportional to 734,643 and 1,123,713

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Solution

The third proportional to 734,643 and 1,123,713 is: 1,718,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,643 : 1,123,713 = 1,123,713 : x
  2. Step 2: Convert to fraction form
    734,643/1,123,713 = 1,123,713/x
  3. Step 3: Cross multiply
    734,643x = 1,123,713 × 1,123,713
  4. Step 4: Simplify right side
    734,643x = 1,262,730,906,369
  5. Step 5: Solve for x
    x = 1,262,730,906,369/734,643
  6. Step 6: Final answer
    x = 1,718,836.10

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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.