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Finding the Third Proportional to 1,571,326.31 and 2,402,677.69

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Solution

The third proportional to 1,571,326.31 and 2,402,677.69 is: 3,673,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571,326.31 : 2,402,677.69 = 2,402,677.69 : x
  2. Step 2: Convert to fraction form
    1,571,326.31/2,402,677.69 = 2,402,677.69/x
  3. Step 3: Cross multiply
    1,571,326.31x = 2,402,677.69 × 2,402,677.69
  4. Step 4: Simplify right side
    1,571,326.31x = 5,772,860,070,010.35
  5. Step 5: Solve for x
    x = 5,772,860,070,010.35/1,571,326.31
  6. Step 6: Final answer
    x = 3,673,877.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.