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Finding the Third Proportional to 1,746,216 and 2,625,816

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Solution

The third proportional to 1,746,216 and 2,625,816 is: 3,948,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,216 : 2,625,816 = 2,625,816 : x
  2. Step 2: Convert to fraction form
    1,746,216/2,625,816 = 2,625,816/x
  3. Step 3: Cross multiply
    1,746,216x = 2,625,816 × 2,625,816
  4. Step 4: Simplify right side
    1,746,216x = 6,894,909,665,856
  5. Step 5: Solve for x
    x = 6,894,909,665,856/1,746,216
  6. Step 6: Final answer
    x = 3,948,486.14

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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.