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Finding the Third Proportional to 1,929,834 and 4,125,253

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Solution

The third proportional to 1,929,834 and 4,125,253 is: 8,818,225.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929,834 : 4,125,253 = 4,125,253 : x
  2. Step 2: Convert to fraction form
    1,929,834/4,125,253 = 4,125,253/x
  3. Step 3: Cross multiply
    1,929,834x = 4,125,253 × 4,125,253
  4. Step 4: Simplify right side
    1,929,834x = 17,017,712,314,009
  5. Step 5: Solve for x
    x = 17,017,712,314,009/1,929,834
  6. Step 6: Final answer
    x = 8,818,225.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.