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Finding the Third Proportional to 596,592 and 1,287,720

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Solution

The third proportional to 596,592 and 1,287,720 is: 2,779,492.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,592 : 1,287,720 = 1,287,720 : x
  2. Step 2: Convert to fraction form
    596,592/1,287,720 = 1,287,720/x
  3. Step 3: Cross multiply
    596,592x = 1,287,720 × 1,287,720
  4. Step 4: Simplify right side
    596,592x = 1,658,222,798,400
  5. Step 5: Solve for x
    x = 1,658,222,798,400/596,592
  6. Step 6: Final answer
    x = 2,779,492.18

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Why These Related Problems?

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