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Finding the Third Proportional to 747,389 and 1,074,427.50

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Solution

The third proportional to 747,389 and 1,074,427.50 is: 1,544,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,389 : 1,074,427.50 = 1,074,427.50 : x
  2. Step 2: Convert to fraction form
    747,389/1,074,427.50 = 1,074,427.50/x
  3. Step 3: Cross multiply
    747,389x = 1,074,427.50 × 1,074,427.50
  4. Step 4: Simplify right side
    747,389x = 1,154,394,452,756.25
  5. Step 5: Solve for x
    x = 1,154,394,452,756.25/747,389
  6. Step 6: Final answer
    x = 1,544,569.77

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.