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Finding the Third Proportional to 667,688 and 1,035,430

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Solution

The third proportional to 667,688 and 1,035,430 is: 1,605,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,688 : 1,035,430 = 1,035,430 : x
  2. Step 2: Convert to fraction form
    667,688/1,035,430 = 1,035,430/x
  3. Step 3: Cross multiply
    667,688x = 1,035,430 × 1,035,430
  4. Step 4: Simplify right side
    667,688x = 1,072,115,284,900
  5. Step 5: Solve for x
    x = 1,072,115,284,900/667,688
  6. Step 6: Final answer
    x = 1,605,712.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.