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Finding the Third Proportional to 834,421.50 and 1,194,763.50

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Solution

The third proportional to 834,421.50 and 1,194,763.50 is: 1,710,717.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,421.50 : 1,194,763.50 = 1,194,763.50 : x
  2. Step 2: Convert to fraction form
    834,421.50/1,194,763.50 = 1,194,763.50/x
  3. Step 3: Cross multiply
    834,421.50x = 1,194,763.50 × 1,194,763.50
  4. Step 4: Simplify right side
    834,421.50x = 1,427,459,820,932.25
  5. Step 5: Solve for x
    x = 1,427,459,820,932.25/834,421.50
  6. Step 6: Final answer
    x = 1,710,717.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.