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Finding the Third Proportional to 1,746,416 and 2,608,840

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Solution

The third proportional to 1,746,416 and 2,608,840 is: 3,897,150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,416 : 2,608,840 = 2,608,840 : x
  2. Step 2: Convert to fraction form
    1,746,416/2,608,840 = 2,608,840/x
  3. Step 3: Cross multiply
    1,746,416x = 2,608,840 × 2,608,840
  4. Step 4: Simplify right side
    1,746,416x = 6,806,046,145,600
  5. Step 5: Solve for x
    x = 6,806,046,145,600/1,746,416
  6. Step 6: Final answer
    x = 3,897,150.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.