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Finding the Third Proportional to 676,244 and 1,460,776

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Solution

The third proportional to 676,244 and 1,460,776 is: 3,155,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,244 : 1,460,776 = 1,460,776 : x
  2. Step 2: Convert to fraction form
    676,244/1,460,776 = 1,460,776/x
  3. Step 3: Cross multiply
    676,244x = 1,460,776 × 1,460,776
  4. Step 4: Simplify right side
    676,244x = 2,133,866,522,176
  5. Step 5: Solve for x
    x = 2,133,866,522,176/676,244
  6. Step 6: Final answer
    x = 3,155,468.33

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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.