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Finding the Third Proportional to 966,030 and 1,419,490.50

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Solution

The third proportional to 966,030 and 1,419,490.50 is: 2,085,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,030 : 1,419,490.50 = 1,419,490.50 : x
  2. Step 2: Convert to fraction form
    966,030/1,419,490.50 = 1,419,490.50/x
  3. Step 3: Cross multiply
    966,030x = 1,419,490.50 × 1,419,490.50
  4. Step 4: Simplify right side
    966,030x = 2,014,953,279,590.25
  5. Step 5: Solve for x
    x = 2,014,953,279,590.25/966,030
  6. Step 6: Final answer
    x = 2,085,808.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.