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Finding the Third Proportional to 1,401,498 and 2,165,292

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Solution

The third proportional to 1,401,498 and 2,165,292 is: 3,345,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401,498 : 2,165,292 = 2,165,292 : x
  2. Step 2: Convert to fraction form
    1,401,498/2,165,292 = 2,165,292/x
  3. Step 3: Cross multiply
    1,401,498x = 2,165,292 × 2,165,292
  4. Step 4: Simplify right side
    1,401,498x = 4,688,489,445,264
  5. Step 5: Solve for x
    x = 4,688,489,445,264/1,401,498
  6. Step 6: Final answer
    x = 3,345,341.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.