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Finding the Third Proportional to 662,184 and 1,429,283

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Solution

The third proportional to 662,184 and 1,429,283 is: 3,085,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,184 : 1,429,283 = 1,429,283 : x
  2. Step 2: Convert to fraction form
    662,184/1,429,283 = 1,429,283/x
  3. Step 3: Cross multiply
    662,184x = 1,429,283 × 1,429,283
  4. Step 4: Simplify right side
    662,184x = 2,042,849,894,089
  5. Step 5: Solve for x
    x = 2,042,849,894,089/662,184
  6. Step 6: Final answer
    x = 3,085,018.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.