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Finding the Third Proportional to 698,928 and 1,528,712

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Solution

The third proportional to 698,928 and 1,528,712 is: 3,343,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,928 : 1,528,712 = 1,528,712 : x
  2. Step 2: Convert to fraction form
    698,928/1,528,712 = 1,528,712/x
  3. Step 3: Cross multiply
    698,928x = 1,528,712 × 1,528,712
  4. Step 4: Simplify right side
    698,928x = 2,336,960,378,944
  5. Step 5: Solve for x
    x = 2,336,960,378,944/698,928
  6. Step 6: Final answer
    x = 3,343,635.37

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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.