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Finding the Third Proportional to 740,024 and 1,604,464

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Solution

The third proportional to 740,024 and 1,604,464 is: 3,478,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,024 : 1,604,464 = 1,604,464 : x
  2. Step 2: Convert to fraction form
    740,024/1,604,464 = 1,604,464/x
  3. Step 3: Cross multiply
    740,024x = 1,604,464 × 1,604,464
  4. Step 4: Simplify right side
    740,024x = 2,574,304,727,296
  5. Step 5: Solve for x
    x = 2,574,304,727,296/740,024
  6. Step 6: Final answer
    x = 3,478,677.35

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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.