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Finding the Third Proportional to 649,808 and 1,010,044

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Solution

The third proportional to 649,808 and 1,010,044 is: 1,569,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,808 : 1,010,044 = 1,010,044 : x
  2. Step 2: Convert to fraction form
    649,808/1,010,044 = 1,010,044/x
  3. Step 3: Cross multiply
    649,808x = 1,010,044 × 1,010,044
  4. Step 4: Simplify right side
    649,808x = 1,020,188,881,936
  5. Step 5: Solve for x
    x = 1,020,188,881,936/649,808
  6. Step 6: Final answer
    x = 1,569,985.11

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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.