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Finding the Third Proportional to 975,212.16 and 1,294,001.58

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Solution

The third proportional to 975,212.16 and 1,294,001.58 is: 1,717,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,212.16 : 1,294,001.58 = 1,294,001.58 : x
  2. Step 2: Convert to fraction form
    975,212.16/1,294,001.58 = 1,294,001.58/x
  3. Step 3: Cross multiply
    975,212.16x = 1,294,001.58 × 1,294,001.58
  4. Step 4: Simplify right side
    975,212.16x = 1,674,440,084,189.99
  5. Step 5: Solve for x
    x = 1,674,440,084,189.99/975,212.16
  6. Step 6: Final answer
    x = 1,717,000.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.