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Finding the Third Proportional to 657,684 and 986,614

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Solution

The third proportional to 657,684 and 986,614 is: 1,480,053.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,684 : 986,614 = 986,614 : x
  2. Step 2: Convert to fraction form
    657,684/986,614 = 986,614/x
  3. Step 3: Cross multiply
    657,684x = 986,614 × 986,614
  4. Step 4: Simplify right side
    657,684x = 973,407,184,996
  5. Step 5: Solve for x
    x = 973,407,184,996/657,684
  6. Step 6: Final answer
    x = 1,480,053.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.