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Finding the Third Proportional to 738,423 and 1,106,403

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Solution

The third proportional to 738,423 and 1,106,403 is: 1,657,759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,423 : 1,106,403 = 1,106,403 : x
  2. Step 2: Convert to fraction form
    738,423/1,106,403 = 1,106,403/x
  3. Step 3: Cross multiply
    738,423x = 1,106,403 × 1,106,403
  4. Step 4: Simplify right side
    738,423x = 1,224,127,598,409
  5. Step 5: Solve for x
    x = 1,224,127,598,409/738,423
  6. Step 6: Final answer
    x = 1,657,759.30

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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.