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Finding the Third Proportional to 740,439 and 1,574,307

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Solution

The third proportional to 740,439 and 1,574,307 is: 3,347,260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,439 : 1,574,307 = 1,574,307 : x
  2. Step 2: Convert to fraction form
    740,439/1,574,307 = 1,574,307/x
  3. Step 3: Cross multiply
    740,439x = 1,574,307 × 1,574,307
  4. Step 4: Simplify right side
    740,439x = 2,478,442,530,249
  5. Step 5: Solve for x
    x = 2,478,442,530,249/740,439
  6. Step 6: Final answer
    x = 3,347,260.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.