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Finding the Third Proportional to 565,585 and 1,229,342

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Solution

The third proportional to 565,585 and 1,229,342 is: 2,672,068.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,585 : 1,229,342 = 1,229,342 : x
  2. Step 2: Convert to fraction form
    565,585/1,229,342 = 1,229,342/x
  3. Step 3: Cross multiply
    565,585x = 1,229,342 × 1,229,342
  4. Step 4: Simplify right side
    565,585x = 1,511,281,752,964
  5. Step 5: Solve for x
    x = 1,511,281,752,964/565,585
  6. Step 6: Final answer
    x = 2,672,068.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.