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Finding the Third Proportional to 542,547 and 1,178,498

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Solution

The third proportional to 542,547 and 1,178,498 is: 2,559,884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,547 : 1,178,498 = 1,178,498 : x
  2. Step 2: Convert to fraction form
    542,547/1,178,498 = 1,178,498/x
  3. Step 3: Cross multiply
    542,547x = 1,178,498 × 1,178,498
  4. Step 4: Simplify right side
    542,547x = 1,388,857,536,004
  5. Step 5: Solve for x
    x = 1,388,857,536,004/542,547
  6. Step 6: Final answer
    x = 2,559,884.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.