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Finding the Third Proportional to 1,746,196 and 2,625,793

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Solution

The third proportional to 1,746,196 and 2,625,793 is: 3,948,462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,196 : 2,625,793 = 2,625,793 : x
  2. Step 2: Convert to fraction form
    1,746,196/2,625,793 = 2,625,793/x
  3. Step 3: Cross multiply
    1,746,196x = 2,625,793 × 2,625,793
  4. Step 4: Simplify right side
    1,746,196x = 6,894,788,878,849
  5. Step 5: Solve for x
    x = 6,894,788,878,849/1,746,196
  6. Step 6: Final answer
    x = 3,948,462.19

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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.