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Finding the Third Proportional to 1,880,230 and 2,864,409

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Solution

The third proportional to 1,880,230 and 2,864,409 is: 4,363,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880,230 : 2,864,409 = 2,864,409 : x
  2. Step 2: Convert to fraction form
    1,880,230/2,864,409 = 2,864,409/x
  3. Step 3: Cross multiply
    1,880,230x = 2,864,409 × 2,864,409
  4. Step 4: Simplify right side
    1,880,230x = 8,204,838,919,281
  5. Step 5: Solve for x
    x = 8,204,838,919,281/1,880,230
  6. Step 6: Final answer
    x = 4,363,742.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.