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Finding the Third Proportional to 1,773,584 and 3,878,944

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Solution

The third proportional to 1,773,584 and 3,878,944 is: 8,483,503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773,584 : 3,878,944 = 3,878,944 : x
  2. Step 2: Convert to fraction form
    1,773,584/3,878,944 = 3,878,944/x
  3. Step 3: Cross multiply
    1,773,584x = 3,878,944 × 3,878,944
  4. Step 4: Simplify right side
    1,773,584x = 15,046,206,555,136
  5. Step 5: Solve for x
    x = 15,046,206,555,136/1,773,584
  6. Step 6: Final answer
    x = 8,483,503.77

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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.