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Finding the Third Proportional to 556,984 and 1,177,464

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Solution

The third proportional to 556,984 and 1,177,464 is: 2,489,158.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,984 : 1,177,464 = 1,177,464 : x
  2. Step 2: Convert to fraction form
    556,984/1,177,464 = 1,177,464/x
  3. Step 3: Cross multiply
    556,984x = 1,177,464 × 1,177,464
  4. Step 4: Simplify right side
    556,984x = 1,386,421,471,296
  5. Step 5: Solve for x
    x = 1,386,421,471,296/556,984
  6. Step 6: Final answer
    x = 2,489,158.52

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Why These Related Problems?

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