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Finding the Third Proportional to 581,464 and 1,287,280

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Solution

The third proportional to 581,464 and 1,287,280 is: 2,849,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,464 : 1,287,280 = 1,287,280 : x
  2. Step 2: Convert to fraction form
    581,464/1,287,280 = 1,287,280/x
  3. Step 3: Cross multiply
    581,464x = 1,287,280 × 1,287,280
  4. Step 4: Simplify right side
    581,464x = 1,657,089,798,400
  5. Step 5: Solve for x
    x = 1,657,089,798,400/581,464
  6. Step 6: Final answer
    x = 2,849,857.94

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Why These Related Problems?

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