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Finding the Third Proportional to 615,072 and 1,331,232

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Solution

The third proportional to 615,072 and 1,331,232 is: 2,881,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,072 : 1,331,232 = 1,331,232 : x
  2. Step 2: Convert to fraction form
    615,072/1,331,232 = 1,331,232/x
  3. Step 3: Cross multiply
    615,072x = 1,331,232 × 1,331,232
  4. Step 4: Simplify right side
    615,072x = 1,772,178,637,824
  5. Step 5: Solve for x
    x = 1,772,178,637,824/615,072
  6. Step 6: Final answer
    x = 2,881,253.96

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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.