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Finding the Third Proportional to 641,850 and 1,017,207

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Solution

The third proportional to 641,850 and 1,017,207 is: 1,612,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,850 : 1,017,207 = 1,017,207 : x
  2. Step 2: Convert to fraction form
    641,850/1,017,207 = 1,017,207/x
  3. Step 3: Cross multiply
    641,850x = 1,017,207 × 1,017,207
  4. Step 4: Simplify right side
    641,850x = 1,034,710,080,849
  5. Step 5: Solve for x
    x = 1,034,710,080,849/641,850
  6. Step 6: Final answer
    x = 1,612,074.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.