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Finding the Third Proportional to 698,813 and 1,497,196

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Solution

The third proportional to 698,813 and 1,497,196 is: 3,207,719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,813 : 1,497,196 = 1,497,196 : x
  2. Step 2: Convert to fraction form
    698,813/1,497,196 = 1,497,196/x
  3. Step 3: Cross multiply
    698,813x = 1,497,196 × 1,497,196
  4. Step 4: Simplify right side
    698,813x = 2,241,595,862,416
  5. Step 5: Solve for x
    x = 2,241,595,862,416/698,813
  6. Step 6: Final answer
    x = 3,207,719.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.