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Finding the Third Proportional to 831,944 and 1,216,716

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Solution

The third proportional to 831,944 and 1,216,716 is: 1,779,444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,944 : 1,216,716 = 1,216,716 : x
  2. Step 2: Convert to fraction form
    831,944/1,216,716 = 1,216,716/x
  3. Step 3: Cross multiply
    831,944x = 1,216,716 × 1,216,716
  4. Step 4: Simplify right side
    831,944x = 1,480,397,824,656
  5. Step 5: Solve for x
    x = 1,480,397,824,656/831,944
  6. Step 6: Final answer
    x = 1,779,444.08

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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.