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Finding the Third Proportional to 1,666,405.41 and 2,488,688.30

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Solution

The third proportional to 1,666,405.41 and 2,488,688.30 is: 3,716,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666,405.41 : 2,488,688.30 = 2,488,688.30 : x
  2. Step 2: Convert to fraction form
    1,666,405.41/2,488,688.30 = 2,488,688.30/x
  3. Step 3: Cross multiply
    1,666,405.41x = 2,488,688.30 × 2,488,688.30
  4. Step 4: Simplify right side
    1,666,405.41x = 6,193,569,439,002.59
  5. Step 5: Solve for x
    x = 6,193,569,439,002.59/1,666,405.41
  6. Step 6: Final answer
    x = 3,716,724.28

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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.