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Finding the Third Proportional to 661,156 and 1,357,160

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Solution

The third proportional to 661,156 and 1,357,160 is: 2,785,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,156 : 1,357,160 = 1,357,160 : x
  2. Step 2: Convert to fraction form
    661,156/1,357,160 = 1,357,160/x
  3. Step 3: Cross multiply
    661,156x = 1,357,160 × 1,357,160
  4. Step 4: Simplify right side
    661,156x = 1,841,883,265,600
  5. Step 5: Solve for x
    x = 1,841,883,265,600/661,156
  6. Step 6: Final answer
    x = 2,785,852.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.