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Finding the Third Proportional to 1,864,294 and 4,084,294

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Solution

The third proportional to 1,864,294 and 4,084,294 is: 8,947,868.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864,294 : 4,084,294 = 4,084,294 : x
  2. Step 2: Convert to fraction form
    1,864,294/4,084,294 = 4,084,294/x
  3. Step 3: Cross multiply
    1,864,294x = 4,084,294 × 4,084,294
  4. Step 4: Simplify right side
    1,864,294x = 16,681,457,478,436
  5. Step 5: Solve for x
    x = 16,681,457,478,436/1,864,294
  6. Step 6: Final answer
    x = 8,947,868.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.