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Finding the Third Proportional to 2,029,557 and 4,365,294

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Solution

The third proportional to 2,029,557 and 4,365,294 is: 9,389,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,557 : 4,365,294 = 4,365,294 : x
  2. Step 2: Convert to fraction form
    2,029,557/4,365,294 = 4,365,294/x
  3. Step 3: Cross multiply
    2,029,557x = 4,365,294 × 4,365,294
  4. Step 4: Simplify right side
    2,029,557x = 19,055,791,706,436
  5. Step 5: Solve for x
    x = 19,055,791,706,436/2,029,557
  6. Step 6: Final answer
    x = 9,389,138.47

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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.