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Finding the Third Proportional to 1,374,127.88 and 1,806,971.63

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Solution

The third proportional to 1,374,127.88 and 1,806,971.63 is: 2,376,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374,127.88 : 1,806,971.63 = 1,806,971.63 : x
  2. Step 2: Convert to fraction form
    1,374,127.88/1,806,971.63 = 1,806,971.63/x
  3. Step 3: Cross multiply
    1,374,127.88x = 1,806,971.63 × 1,806,971.63
  4. Step 4: Simplify right side
    1,374,127.88x = 3,265,146,453,555.14
  5. Step 5: Solve for x
    x = 3,265,146,453,555.14/1,374,127.88
  6. Step 6: Final answer
    x = 2,376,159.10

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.