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Finding the Third Proportional to 687,637 and 1,051,223

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Solution

The third proportional to 687,637 and 1,051,223 is: 1,607,054.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,637 : 1,051,223 = 1,051,223 : x
  2. Step 2: Convert to fraction form
    687,637/1,051,223 = 1,051,223/x
  3. Step 3: Cross multiply
    687,637x = 1,051,223 × 1,051,223
  4. Step 4: Simplify right side
    687,637x = 1,105,069,795,729
  5. Step 5: Solve for x
    x = 1,105,069,795,729/687,637
  6. Step 6: Final answer
    x = 1,607,054.01

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.