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Finding the Third Proportional to 653,430 and 1,386,168

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Solution

The third proportional to 653,430 and 1,386,168 is: 2,940,577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,430 : 1,386,168 = 1,386,168 : x
  2. Step 2: Convert to fraction form
    653,430/1,386,168 = 1,386,168/x
  3. Step 3: Cross multiply
    653,430x = 1,386,168 × 1,386,168
  4. Step 4: Simplify right side
    653,430x = 1,921,461,724,224
  5. Step 5: Solve for x
    x = 1,921,461,724,224/653,430
  6. Step 6: Final answer
    x = 2,940,577.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.