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Finding the Third Proportional to 760,530 and 1,652,448

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Solution

The third proportional to 760,530 and 1,652,448 is: 3,590,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,530 : 1,652,448 = 1,652,448 : x
  2. Step 2: Convert to fraction form
    760,530/1,652,448 = 1,652,448/x
  3. Step 3: Cross multiply
    760,530x = 1,652,448 × 1,652,448
  4. Step 4: Simplify right side
    760,530x = 2,730,584,392,704
  5. Step 5: Solve for x
    x = 2,730,584,392,704/760,530
  6. Step 6: Final answer
    x = 3,590,370.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.