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Finding the Third Proportional to 581,456 and 1,287,264

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Solution

The third proportional to 581,456 and 1,287,264 is: 2,849,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,456 : 1,287,264 = 1,287,264 : x
  2. Step 2: Convert to fraction form
    581,456/1,287,264 = 1,287,264/x
  3. Step 3: Cross multiply
    581,456x = 1,287,264 × 1,287,264
  4. Step 4: Simplify right side
    581,456x = 1,657,048,605,696
  5. Step 5: Solve for x
    x = 1,657,048,605,696/581,456
  6. Step 6: Final answer
    x = 2,849,826.31

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.