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Finding the Third Proportional to 1,119,402 and 1,688,470.50

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Solution

The third proportional to 1,119,402 and 1,688,470.50 is: 2,546,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119,402 : 1,688,470.50 = 1,688,470.50 : x
  2. Step 2: Convert to fraction form
    1,119,402/1,688,470.50 = 1,688,470.50/x
  3. Step 3: Cross multiply
    1,119,402x = 1,688,470.50 × 1,688,470.50
  4. Step 4: Simplify right side
    1,119,402x = 2,850,932,629,370.25
  5. Step 5: Solve for x
    x = 2,850,932,629,370.25/1,119,402
  6. Step 6: Final answer
    x = 2,546,835.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.