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Finding the Third Proportional to 1,385,833 and 2,963,184

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Solution

The third proportional to 1,385,833 and 2,963,184 is: 6,335,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385,833 : 2,963,184 = 2,963,184 : x
  2. Step 2: Convert to fraction form
    1,385,833/2,963,184 = 2,963,184/x
  3. Step 3: Cross multiply
    1,385,833x = 2,963,184 × 2,963,184
  4. Step 4: Simplify right side
    1,385,833x = 8,780,459,417,856
  5. Step 5: Solve for x
    x = 8,780,459,417,856/1,385,833
  6. Step 6: Final answer
    x = 6,335,871.22

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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.