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Finding the Third Proportional to 832,232 and 1,218,712

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Solution

The third proportional to 832,232 and 1,218,712 is: 1,784,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,232 : 1,218,712 = 1,218,712 : x
  2. Step 2: Convert to fraction form
    832,232/1,218,712 = 1,218,712/x
  3. Step 3: Cross multiply
    832,232x = 1,218,712 × 1,218,712
  4. Step 4: Simplify right side
    832,232x = 1,485,258,938,944
  5. Step 5: Solve for x
    x = 1,485,258,938,944/832,232
  6. Step 6: Final answer
    x = 1,784,669.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.