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Finding the Third Proportional to 747,072 and 1,117,968

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Solution

The third proportional to 747,072 and 1,117,968 is: 1,673,001.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,072 : 1,117,968 = 1,117,968 : x
  2. Step 2: Convert to fraction form
    747,072/1,117,968 = 1,117,968/x
  3. Step 3: Cross multiply
    747,072x = 1,117,968 × 1,117,968
  4. Step 4: Simplify right side
    747,072x = 1,249,852,449,024
  5. Step 5: Solve for x
    x = 1,249,852,449,024/747,072
  6. Step 6: Final answer
    x = 1,673,001.33

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Why These Related Problems?

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