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Finding the Third Proportional to 1,347,570 and 2,892,294

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Solution

The third proportional to 1,347,570 and 2,892,294 is: 6,207,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,570 : 2,892,294 = 2,892,294 : x
  2. Step 2: Convert to fraction form
    1,347,570/2,892,294 = 2,892,294/x
  3. Step 3: Cross multiply
    1,347,570x = 2,892,294 × 2,892,294
  4. Step 4: Simplify right side
    1,347,570x = 8,365,364,582,436
  5. Step 5: Solve for x
    x = 8,365,364,582,436/1,347,570
  6. Step 6: Final answer
    x = 6,207,740.29

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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.