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Finding the Third Proportional to 684,141 and 1,073,209

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Solution

The third proportional to 684,141 and 1,073,209 is: 1,683,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,141 : 1,073,209 = 1,073,209 : x
  2. Step 2: Convert to fraction form
    684,141/1,073,209 = 1,073,209/x
  3. Step 3: Cross multiply
    684,141x = 1,073,209 × 1,073,209
  4. Step 4: Simplify right side
    684,141x = 1,151,777,557,681
  5. Step 5: Solve for x
    x = 1,151,777,557,681/684,141
  6. Step 6: Final answer
    x = 1,683,538.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.