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Finding the Third Proportional to 1,577,715.47 and 3,455,750.46

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Solution

The third proportional to 1,577,715.47 and 3,455,750.46 is: 7,569,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,715.47 : 3,455,750.46 = 3,455,750.46 : x
  2. Step 2: Convert to fraction form
    1,577,715.47/3,455,750.46 = 3,455,750.46/x
  3. Step 3: Cross multiply
    1,577,715.47x = 3,455,750.46 × 3,455,750.46
  4. Step 4: Simplify right side
    1,577,715.47x = 11,942,211,248,269.74
  5. Step 5: Solve for x
    x = 11,942,211,248,269.74/1,577,715.47
  6. Step 6: Final answer
    x = 7,569,306.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.