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Finding the Third Proportional to 491,428 and 1,035,332

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Solution

The third proportional to 491,428 and 1,035,332 is: 2,181,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,428 : 1,035,332 = 1,035,332 : x
  2. Step 2: Convert to fraction form
    491,428/1,035,332 = 1,035,332/x
  3. Step 3: Cross multiply
    491,428x = 1,035,332 × 1,035,332
  4. Step 4: Simplify right side
    491,428x = 1,071,912,350,224
  5. Step 5: Solve for x
    x = 1,071,912,350,224/491,428
  6. Step 6: Final answer
    x = 2,181,219.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.