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Finding the Third Proportional to 1,207,154 and 2,610,319

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Solution

The third proportional to 1,207,154 and 2,610,319 is: 5,644,487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207,154 : 2,610,319 = 2,610,319 : x
  2. Step 2: Convert to fraction form
    1,207,154/2,610,319 = 2,610,319/x
  3. Step 3: Cross multiply
    1,207,154x = 2,610,319 × 2,610,319
  4. Step 4: Simplify right side
    1,207,154x = 6,813,765,281,761
  5. Step 5: Solve for x
    x = 6,813,765,281,761/1,207,154
  6. Step 6: Final answer
    x = 5,644,487.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.