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Finding the Third Proportional to 2,129,894 and 4,584,558

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Solution

The third proportional to 2,129,894 and 4,584,558 is: 9,868,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,894 : 4,584,558 = 4,584,558 : x
  2. Step 2: Convert to fraction form
    2,129,894/4,584,558 = 4,584,558/x
  3. Step 3: Cross multiply
    2,129,894x = 4,584,558 × 4,584,558
  4. Step 4: Simplify right side
    2,129,894x = 21,018,172,055,364
  5. Step 5: Solve for x
    x = 21,018,172,055,364/2,129,894
  6. Step 6: Final answer
    x = 9,868,177.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.