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Finding the Third Proportional to 544,160 and 1,176,968

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Solution

The third proportional to 544,160 and 1,176,968 is: 2,545,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,160 : 1,176,968 = 1,176,968 : x
  2. Step 2: Convert to fraction form
    544,160/1,176,968 = 1,176,968/x
  3. Step 3: Cross multiply
    544,160x = 1,176,968 × 1,176,968
  4. Step 4: Simplify right side
    544,160x = 1,385,253,673,024
  5. Step 5: Solve for x
    x = 1,385,253,673,024/544,160
  6. Step 6: Final answer
    x = 2,545,673.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.