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Finding the Third Proportional to 871,964 and 1,183,528

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Solution

The third proportional to 871,964 and 1,183,528 is: 1,606,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,964 : 1,183,528 = 1,183,528 : x
  2. Step 2: Convert to fraction form
    871,964/1,183,528 = 1,183,528/x
  3. Step 3: Cross multiply
    871,964x = 1,183,528 × 1,183,528
  4. Step 4: Simplify right side
    871,964x = 1,400,738,526,784
  5. Step 5: Solve for x
    x = 1,400,738,526,784/871,964
  6. Step 6: Final answer
    x = 1,606,417.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.