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Finding the Third Proportional to 711,473.63 and 934,107.19

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Solution

The third proportional to 711,473.63 and 934,107.19 is: 1,226,407.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,473.63 : 934,107.19 = 934,107.19 : x
  2. Step 2: Convert to fraction form
    711,473.63/934,107.19 = 934,107.19/x
  3. Step 3: Cross multiply
    711,473.63x = 934,107.19 × 934,107.19
  4. Step 4: Simplify right side
    711,473.63x = 872,556,237,739.16
  5. Step 5: Solve for x
    x = 872,556,237,739.16/711,473.63
  6. Step 6: Final answer
    x = 1,226,407.01

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.