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Finding the Third Proportional to 1,148,220 and 2,480,160

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Solution

The third proportional to 1,148,220 and 2,480,160 is: 5,357,155.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,220 : 2,480,160 = 2,480,160 : x
  2. Step 2: Convert to fraction form
    1,148,220/2,480,160 = 2,480,160/x
  3. Step 3: Cross multiply
    1,148,220x = 2,480,160 × 2,480,160
  4. Step 4: Simplify right side
    1,148,220x = 6,151,193,625,600
  5. Step 5: Solve for x
    x = 6,151,193,625,600/1,148,220
  6. Step 6: Final answer
    x = 5,357,155.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.