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Finding the Third Proportional to 676,209 and 1,046,508

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Solution

The third proportional to 676,209 and 1,046,508 is: 1,619,586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,209 : 1,046,508 = 1,046,508 : x
  2. Step 2: Convert to fraction form
    676,209/1,046,508 = 1,046,508/x
  3. Step 3: Cross multiply
    676,209x = 1,046,508 × 1,046,508
  4. Step 4: Simplify right side
    676,209x = 1,095,178,994,064
  5. Step 5: Solve for x
    x = 1,095,178,994,064/676,209
  6. Step 6: Final answer
    x = 1,619,586.54

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