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Finding the Third Proportional to 734,598 and 1,557,432

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Solution

The third proportional to 734,598 and 1,557,432 is: 3,301,934.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,598 : 1,557,432 = 1,557,432 : x
  2. Step 2: Convert to fraction form
    734,598/1,557,432 = 1,557,432/x
  3. Step 3: Cross multiply
    734,598x = 1,557,432 × 1,557,432
  4. Step 4: Simplify right side
    734,598x = 2,425,594,434,624
  5. Step 5: Solve for x
    x = 2,425,594,434,624/734,598
  6. Step 6: Final answer
    x = 3,301,934.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.