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Finding the Third Proportional to 676,115 and 1,046,370

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Solution

The third proportional to 676,115 and 1,046,370 is: 1,619,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,115 : 1,046,370 = 1,046,370 : x
  2. Step 2: Convert to fraction form
    676,115/1,046,370 = 1,046,370/x
  3. Step 3: Cross multiply
    676,115x = 1,046,370 × 1,046,370
  4. Step 4: Simplify right side
    676,115x = 1,094,890,176,900
  5. Step 5: Solve for x
    x = 1,094,890,176,900/676,115
  6. Step 6: Final answer
    x = 1,619,384.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.