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Finding the Third Proportional to 501,776 and 1,085,340

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Solution

The third proportional to 501,776 and 1,085,340 is: 2,347,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,776 : 1,085,340 = 1,085,340 : x
  2. Step 2: Convert to fraction form
    501,776/1,085,340 = 1,085,340/x
  3. Step 3: Cross multiply
    501,776x = 1,085,340 × 1,085,340
  4. Step 4: Simplify right side
    501,776x = 1,177,962,915,600
  5. Step 5: Solve for x
    x = 1,177,962,915,600/501,776
  6. Step 6: Final answer
    x = 2,347,587.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.