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Finding the Third Proportional to 668,038 and 1,430,662

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Solution

The third proportional to 668,038 and 1,430,662 is: 3,063,888.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,038 : 1,430,662 = 1,430,662 : x
  2. Step 2: Convert to fraction form
    668,038/1,430,662 = 1,430,662/x
  3. Step 3: Cross multiply
    668,038x = 1,430,662 × 1,430,662
  4. Step 4: Simplify right side
    668,038x = 2,046,793,758,244
  5. Step 5: Solve for x
    x = 2,046,793,758,244/668,038
  6. Step 6: Final answer
    x = 3,063,888.22

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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.