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Finding the Third Proportional to 523,656 and 1,127,475

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Solution

The third proportional to 523,656 and 1,127,475 is: 2,427,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,656 : 1,127,475 = 1,127,475 : x
  2. Step 2: Convert to fraction form
    523,656/1,127,475 = 1,127,475/x
  3. Step 3: Cross multiply
    523,656x = 1,127,475 × 1,127,475
  4. Step 4: Simplify right side
    523,656x = 1,271,199,875,625
  5. Step 5: Solve for x
    x = 1,271,199,875,625/523,656
  6. Step 6: Final answer
    x = 2,427,547.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.