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Finding the Third Proportional to 732,405 and 1,604,450

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Solution

The third proportional to 732,405 and 1,604,450 is: 3,514,803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,405 : 1,604,450 = 1,604,450 : x
  2. Step 2: Convert to fraction form
    732,405/1,604,450 = 1,604,450/x
  3. Step 3: Cross multiply
    732,405x = 1,604,450 × 1,604,450
  4. Step 4: Simplify right side
    732,405x = 2,574,259,802,500
  5. Step 5: Solve for x
    x = 2,574,259,802,500/732,405
  6. Step 6: Final answer
    x = 3,514,803.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.