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Finding the Third Proportional to 698,854 and 1,528,568

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Solution

The third proportional to 698,854 and 1,528,568 is: 3,343,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,854 : 1,528,568 = 1,528,568 : x
  2. Step 2: Convert to fraction form
    698,854/1,528,568 = 1,528,568/x
  3. Step 3: Cross multiply
    698,854x = 1,528,568 × 1,528,568
  4. Step 4: Simplify right side
    698,854x = 2,336,520,130,624
  5. Step 5: Solve for x
    x = 2,336,520,130,624/698,854
  6. Step 6: Final answer
    x = 3,343,359.46

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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.