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Finding the Third Proportional to 1,403,970 and 2,006,309.44

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Solution

The third proportional to 1,403,970 and 2,006,309.44 is: 2,867,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403,970 : 2,006,309.44 = 2,006,309.44 : x
  2. Step 2: Convert to fraction form
    1,403,970/2,006,309.44 = 2,006,309.44/x
  3. Step 3: Cross multiply
    1,403,970x = 2,006,309.44 × 2,006,309.44
  4. Step 4: Simplify right side
    1,403,970x = 4,025,277,559,001.57
  5. Step 5: Solve for x
    x = 4,025,277,559,001.57/1,403,970
  6. Step 6: Final answer
    x = 2,867,068.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.