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Finding the Third Proportional to 746,604 and 1,148,215.50

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Solution

The third proportional to 746,604 and 1,148,215.50 is: 1,765,860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,604 : 1,148,215.50 = 1,148,215.50 : x
  2. Step 2: Convert to fraction form
    746,604/1,148,215.50 = 1,148,215.50/x
  3. Step 3: Cross multiply
    746,604x = 1,148,215.50 × 1,148,215.50
  4. Step 4: Simplify right side
    746,604x = 1,318,398,834,440.25
  5. Step 5: Solve for x
    x = 1,318,398,834,440.25/746,604
  6. Step 6: Final answer
    x = 1,765,860.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.