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Finding the Third Proportional to 502,461 and 1,095,265

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Solution

The third proportional to 502,461 and 1,095,265 is: 2,387,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,461 : 1,095,265 = 1,095,265 : x
  2. Step 2: Convert to fraction form
    502,461/1,095,265 = 1,095,265/x
  3. Step 3: Cross multiply
    502,461x = 1,095,265 × 1,095,265
  4. Step 4: Simplify right side
    502,461x = 1,199,605,420,225
  5. Step 5: Solve for x
    x = 1,199,605,420,225/502,461
  6. Step 6: Final answer
    x = 2,387,459.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.