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Finding the Third Proportional to 702,410 and 1,488,410

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Solution

The third proportional to 702,410 and 1,488,410 is: 3,153,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,410 : 1,488,410 = 1,488,410 : x
  2. Step 2: Convert to fraction form
    702,410/1,488,410 = 1,488,410/x
  3. Step 3: Cross multiply
    702,410x = 1,488,410 × 1,488,410
  4. Step 4: Simplify right side
    702,410x = 2,215,364,328,100
  5. Step 5: Solve for x
    x = 2,215,364,328,100/702,410
  6. Step 6: Final answer
    x = 3,153,947.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.