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Finding the Third Proportional to 1,778,277.75 and 4,196,470.31

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Solution

The third proportional to 1,778,277.75 and 4,196,470.31 is: 9,903,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778,277.75 : 4,196,470.31 = 4,196,470.31 : x
  2. Step 2: Convert to fraction form
    1,778,277.75/4,196,470.31 = 4,196,470.31/x
  3. Step 3: Cross multiply
    1,778,277.75x = 4,196,470.31 × 4,196,470.31
  4. Step 4: Simplify right side
    1,778,277.75x = 17,610,363,083,693.85
  5. Step 5: Solve for x
    x = 17,610,363,083,693.85/1,778,277.75
  6. Step 6: Final answer
    x = 9,903,044.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.