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Finding the Third Proportional to 652,707 and 1,424,970

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Solution

The third proportional to 652,707 and 1,424,970 is: 3,110,951.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,707 : 1,424,970 = 1,424,970 : x
  2. Step 2: Convert to fraction form
    652,707/1,424,970 = 1,424,970/x
  3. Step 3: Cross multiply
    652,707x = 1,424,970 × 1,424,970
  4. Step 4: Simplify right side
    652,707x = 2,030,539,500,900
  5. Step 5: Solve for x
    x = 2,030,539,500,900/652,707
  6. Step 6: Final answer
    x = 3,110,951.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.