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Finding the Third Proportional to 734,548 and 1,123,553

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Solution

The third proportional to 734,548 and 1,123,553 is: 1,718,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,548 : 1,123,553 = 1,123,553 : x
  2. Step 2: Convert to fraction form
    734,548/1,123,553 = 1,123,553/x
  3. Step 3: Cross multiply
    734,548x = 1,123,553 × 1,123,553
  4. Step 4: Simplify right side
    734,548x = 1,262,371,343,809
  5. Step 5: Solve for x
    x = 1,262,371,343,809/734,548
  6. Step 6: Final answer
    x = 1,718,568.89

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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.