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Finding the Third Proportional to 709,826 and 1,032,344

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Solution

The third proportional to 709,826 and 1,032,344 is: 1,501,401.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,826 : 1,032,344 = 1,032,344 : x
  2. Step 2: Convert to fraction form
    709,826/1,032,344 = 1,032,344/x
  3. Step 3: Cross multiply
    709,826x = 1,032,344 × 1,032,344
  4. Step 4: Simplify right side
    709,826x = 1,065,734,134,336
  5. Step 5: Solve for x
    x = 1,065,734,134,336/709,826
  6. Step 6: Final answer
    x = 1,501,401.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.