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Finding the Third Proportional to 1,032,809.50 and 1,408,038

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Solution

The third proportional to 1,032,809.50 and 1,408,038 is: 1,919,590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,809.50 : 1,408,038 = 1,408,038 : x
  2. Step 2: Convert to fraction form
    1,032,809.50/1,408,038 = 1,408,038/x
  3. Step 3: Cross multiply
    1,032,809.50x = 1,408,038 × 1,408,038
  4. Step 4: Simplify right side
    1,032,809.50x = 1,982,571,009,444
  5. Step 5: Solve for x
    x = 1,982,571,009,444/1,032,809.50
  6. Step 6: Final answer
    x = 1,919,590.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.