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Finding the Third Proportional to 1,298,064 and 1,936,294

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Solution

The third proportional to 1,298,064 and 1,936,294 is: 2,888,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,064 : 1,936,294 = 1,936,294 : x
  2. Step 2: Convert to fraction form
    1,298,064/1,936,294 = 1,936,294/x
  3. Step 3: Cross multiply
    1,298,064x = 1,936,294 × 1,936,294
  4. Step 4: Simplify right side
    1,298,064x = 3,749,234,454,436
  5. Step 5: Solve for x
    x = 3,749,234,454,436/1,298,064
  6. Step 6: Final answer
    x = 2,888,327.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.