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Finding the Third Proportional to 1,973,545.31 and 2,952,284.63

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Solution

The third proportional to 1,973,545.31 and 2,952,284.63 is: 4,416,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,545.31 : 2,952,284.63 = 2,952,284.63 : x
  2. Step 2: Convert to fraction form
    1,973,545.31/2,952,284.63 = 2,952,284.63/x
  3. Step 3: Cross multiply
    1,973,545.31x = 2,952,284.63 × 2,952,284.63
  4. Step 4: Simplify right side
    1,973,545.31x = 8,715,984,507,011.39
  5. Step 5: Solve for x
    x = 8,715,984,507,011.39/1,973,545.31
  6. Step 6: Final answer
    x = 4,416,409.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.