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Finding the Third Proportional to 740,281 and 1,607,409

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Solution

The third proportional to 740,281 and 1,607,409 is: 3,490,247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,281 : 1,607,409 = 1,607,409 : x
  2. Step 2: Convert to fraction form
    740,281/1,607,409 = 1,607,409/x
  3. Step 3: Cross multiply
    740,281x = 1,607,409 × 1,607,409
  4. Step 4: Simplify right side
    740,281x = 2,583,763,693,281
  5. Step 5: Solve for x
    x = 2,583,763,693,281/740,281
  6. Step 6: Final answer
    x = 3,490,247.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.