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Finding the Third Proportional to 779,025 and 1,165,423

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Solution

The third proportional to 779,025 and 1,165,423 is: 1,743,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,025 : 1,165,423 = 1,165,423 : x
  2. Step 2: Convert to fraction form
    779,025/1,165,423 = 1,165,423/x
  3. Step 3: Cross multiply
    779,025x = 1,165,423 × 1,165,423
  4. Step 4: Simplify right side
    779,025x = 1,358,210,768,929
  5. Step 5: Solve for x
    x = 1,358,210,768,929/779,025
  6. Step 6: Final answer
    x = 1,743,475.20

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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.