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Finding the Third Proportional to 2,781,893 and 5,931,220

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Solution

The third proportional to 2,781,893 and 5,931,220 is: 12,645,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781,893 : 5,931,220 = 5,931,220 : x
  2. Step 2: Convert to fraction form
    2,781,893/5,931,220 = 5,931,220/x
  3. Step 3: Cross multiply
    2,781,893x = 5,931,220 × 5,931,220
  4. Step 4: Simplify right side
    2,781,893x = 35,179,370,688,400
  5. Step 5: Solve for x
    x = 35,179,370,688,400/2,781,893
  6. Step 6: Final answer
    x = 12,645,838.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.