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Finding the Third Proportional to 1,657,324 and 2,586,720

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Solution

The third proportional to 1,657,324 and 2,586,720 is: 4,037,303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,324 : 2,586,720 = 2,586,720 : x
  2. Step 2: Convert to fraction form
    1,657,324/2,586,720 = 2,586,720/x
  3. Step 3: Cross multiply
    1,657,324x = 2,586,720 × 2,586,720
  4. Step 4: Simplify right side
    1,657,324x = 6,691,120,358,400
  5. Step 5: Solve for x
    x = 6,691,120,358,400/1,657,324
  6. Step 6: Final answer
    x = 4,037,303.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.