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Finding the Third Proportional to 497,584 and 1,060,216

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Solution

The third proportional to 497,584 and 1,060,216 is: 2,259,031.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,584 : 1,060,216 = 1,060,216 : x
  2. Step 2: Convert to fraction form
    497,584/1,060,216 = 1,060,216/x
  3. Step 3: Cross multiply
    497,584x = 1,060,216 × 1,060,216
  4. Step 4: Simplify right side
    497,584x = 1,124,057,966,656
  5. Step 5: Solve for x
    x = 1,124,057,966,656/497,584
  6. Step 6: Final answer
    x = 2,259,031.57

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.