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Finding the Third Proportional to 1,358,210 and 2,952,292

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Solution

The third proportional to 1,358,210 and 2,952,292 is: 6,417,290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358,210 : 2,952,292 = 2,952,292 : x
  2. Step 2: Convert to fraction form
    1,358,210/2,952,292 = 2,952,292/x
  3. Step 3: Cross multiply
    1,358,210x = 2,952,292 × 2,952,292
  4. Step 4: Simplify right side
    1,358,210x = 8,716,028,053,264
  5. Step 5: Solve for x
    x = 8,716,028,053,264/1,358,210
  6. Step 6: Final answer
    x = 6,417,290.44

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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.