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Finding the Third Proportional to 975,223.13 and 1,294,017.75

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Solution

The third proportional to 975,223.13 and 1,294,017.75 is: 1,717,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,223.13 : 1,294,017.75 = 1,294,017.75 : x
  2. Step 2: Convert to fraction form
    975,223.13/1,294,017.75 = 1,294,017.75/x
  3. Step 3: Cross multiply
    975,223.13x = 1,294,017.75 × 1,294,017.75
  4. Step 4: Simplify right side
    975,223.13x = 1,674,481,937,315.06
  5. Step 5: Solve for x
    x = 1,674,481,937,315.06/975,223.13
  6. Step 6: Final answer
    x = 1,717,024.44

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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.