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Finding the Third Proportional to 754,313 and 1,648,594

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Solution

The third proportional to 754,313 and 1,648,594 is: 3,603,096.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,313 : 1,648,594 = 1,648,594 : x
  2. Step 2: Convert to fraction form
    754,313/1,648,594 = 1,648,594/x
  3. Step 3: Cross multiply
    754,313x = 1,648,594 × 1,648,594
  4. Step 4: Simplify right side
    754,313x = 2,717,862,176,836
  5. Step 5: Solve for x
    x = 2,717,862,176,836/754,313
  6. Step 6: Final answer
    x = 3,603,096.03

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Why These Related Problems?

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