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Finding the Third Proportional to 506,221 and 1,069,361

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Solution

The third proportional to 506,221 and 1,069,361 is: 2,258,959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,221 : 1,069,361 = 1,069,361 : x
  2. Step 2: Convert to fraction form
    506,221/1,069,361 = 1,069,361/x
  3. Step 3: Cross multiply
    506,221x = 1,069,361 × 1,069,361
  4. Step 4: Simplify right side
    506,221x = 1,143,532,948,321
  5. Step 5: Solve for x
    x = 1,143,532,948,321/506,221
  6. Step 6: Final answer
    x = 2,258,959.92

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