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Finding the Third Proportional to 1,688,641.50 and 2,488,311.75

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Solution

The third proportional to 1,688,641.50 and 2,488,311.75 is: 3,666,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,641.50 : 2,488,311.75 = 2,488,311.75 : x
  2. Step 2: Convert to fraction form
    1,688,641.50/2,488,311.75 = 2,488,311.75/x
  3. Step 3: Cross multiply
    1,688,641.50x = 2,488,311.75 × 2,488,311.75
  4. Step 4: Simplify right side
    1,688,641.50x = 6,191,695,365,188.06
  5. Step 5: Solve for x
    x = 6,191,695,365,188.06/1,688,641.50
  6. Step 6: Final answer
    x = 3,666,672.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.