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Finding the Third Proportional to 542,437 and 1,166,490

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Solution

The third proportional to 542,437 and 1,166,490 is: 2,508,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,437 : 1,166,490 = 1,166,490 : x
  2. Step 2: Convert to fraction form
    542,437/1,166,490 = 1,166,490/x
  3. Step 3: Cross multiply
    542,437x = 1,166,490 × 1,166,490
  4. Step 4: Simplify right side
    542,437x = 1,360,698,920,100
  5. Step 5: Solve for x
    x = 1,360,698,920,100/542,437
  6. Step 6: Final answer
    x = 2,508,492.08

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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.