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Finding the Third Proportional to 531,582 and 1,136,928

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Solution

The third proportional to 531,582 and 1,136,928 is: 2,431,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,582 : 1,136,928 = 1,136,928 : x
  2. Step 2: Convert to fraction form
    531,582/1,136,928 = 1,136,928/x
  3. Step 3: Cross multiply
    531,582x = 1,136,928 × 1,136,928
  4. Step 4: Simplify right side
    531,582x = 1,292,605,277,184
  5. Step 5: Solve for x
    x = 1,292,605,277,184/531,582
  6. Step 6: Final answer
    x = 2,431,619.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.