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Finding the Third Proportional to 698,534 and 1,527,828

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Solution

The third proportional to 698,534 and 1,527,828 is: 3,341,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,534 : 1,527,828 = 1,527,828 : x
  2. Step 2: Convert to fraction form
    698,534/1,527,828 = 1,527,828/x
  3. Step 3: Cross multiply
    698,534x = 1,527,828 × 1,527,828
  4. Step 4: Simplify right side
    698,534x = 2,334,258,397,584
  5. Step 5: Solve for x
    x = 2,334,258,397,584/698,534
  6. Step 6: Final answer
    x = 3,341,653.23

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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.