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Finding the Third Proportional to 687,016 and 1,009,998

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Solution

The third proportional to 687,016 and 1,009,998 is: 1,484,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,016 : 1,009,998 = 1,009,998 : x
  2. Step 2: Convert to fraction form
    687,016/1,009,998 = 1,009,998/x
  3. Step 3: Cross multiply
    687,016x = 1,009,998 × 1,009,998
  4. Step 4: Simplify right side
    687,016x = 1,020,095,960,004
  5. Step 5: Solve for x
    x = 1,020,095,960,004/687,016
  6. Step 6: Final answer
    x = 1,484,821.26

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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.