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Finding the Third Proportional to 602,169 and 817,410

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Solution

The third proportional to 602,169 and 817,410 is: 1,109,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,169 : 817,410 = 817,410 : x
  2. Step 2: Convert to fraction form
    602,169/817,410 = 817,410/x
  3. Step 3: Cross multiply
    602,169x = 817,410 × 817,410
  4. Step 4: Simplify right side
    602,169x = 668,159,108,100
  5. Step 5: Solve for x
    x = 668,159,108,100/602,169
  6. Step 6: Final answer
    x = 1,109,587.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.