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Finding the Third Proportional to 526,776 and 1,116,246

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Solution

The third proportional to 526,776 and 1,116,246 is: 2,365,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,776 : 1,116,246 = 1,116,246 : x
  2. Step 2: Convert to fraction form
    526,776/1,116,246 = 1,116,246/x
  3. Step 3: Cross multiply
    526,776x = 1,116,246 × 1,116,246
  4. Step 4: Simplify right side
    526,776x = 1,246,005,132,516
  5. Step 5: Solve for x
    x = 1,246,005,132,516/526,776
  6. Step 6: Final answer
    x = 2,365,341.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.