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Finding the Third Proportional to 738,439 and 1,106,430

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Solution

The third proportional to 738,439 and 1,106,430 is: 1,657,804.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,439 : 1,106,430 = 1,106,430 : x
  2. Step 2: Convert to fraction form
    738,439/1,106,430 = 1,106,430/x
  3. Step 3: Cross multiply
    738,439x = 1,106,430 × 1,106,430
  4. Step 4: Simplify right side
    738,439x = 1,224,187,344,900
  5. Step 5: Solve for x
    x = 1,224,187,344,900/738,439
  6. Step 6: Final answer
    x = 1,657,804.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.