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Finding the Third Proportional to 687,278 and 1,010,320

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Solution

The third proportional to 687,278 and 1,010,320 is: 1,485,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,278 : 1,010,320 = 1,010,320 : x
  2. Step 2: Convert to fraction form
    687,278/1,010,320 = 1,010,320/x
  3. Step 3: Cross multiply
    687,278x = 1,010,320 × 1,010,320
  4. Step 4: Simplify right side
    687,278x = 1,020,746,502,400
  5. Step 5: Solve for x
    x = 1,020,746,502,400/687,278
  6. Step 6: Final answer
    x = 1,485,201.77

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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.