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Finding the Third Proportional to 686,778 and 1,010,304

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Solution

The third proportional to 686,778 and 1,010,304 is: 1,486,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,778 : 1,010,304 = 1,010,304 : x
  2. Step 2: Convert to fraction form
    686,778/1,010,304 = 1,010,304/x
  3. Step 3: Cross multiply
    686,778x = 1,010,304 × 1,010,304
  4. Step 4: Simplify right side
    686,778x = 1,020,714,172,416
  5. Step 5: Solve for x
    x = 1,020,714,172,416/686,778
  6. Step 6: Final answer
    x = 1,486,235.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.