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Finding the Third Proportional to 690,411.50 and 1,476,779.50

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Solution

The third proportional to 690,411.50 and 1,476,779.50 is: 3,158,808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,411.50 : 1,476,779.50 = 1,476,779.50 : x
  2. Step 2: Convert to fraction form
    690,411.50/1,476,779.50 = 1,476,779.50/x
  3. Step 3: Cross multiply
    690,411.50x = 1,476,779.50 × 1,476,779.50
  4. Step 4: Simplify right side
    690,411.50x = 2,180,877,691,620.25
  5. Step 5: Solve for x
    x = 2,180,877,691,620.25/690,411.50
  6. Step 6: Final answer
    x = 3,158,808.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.