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Finding the Third Proportional to 556,986 and 1,177,468

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Solution

The third proportional to 556,986 and 1,177,468 is: 2,489,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,986 : 1,177,468 = 1,177,468 : x
  2. Step 2: Convert to fraction form
    556,986/1,177,468 = 1,177,468/x
  3. Step 3: Cross multiply
    556,986x = 1,177,468 × 1,177,468
  4. Step 4: Simplify right side
    556,986x = 1,386,430,891,024
  5. Step 5: Solve for x
    x = 1,386,430,891,024/556,986
  6. Step 6: Final answer
    x = 2,489,166.50

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.