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Finding the Third Proportional to 862,507 and 1,891,091

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Solution

The third proportional to 862,507 and 1,891,091 is: 4,146,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,507 : 1,891,091 = 1,891,091 : x
  2. Step 2: Convert to fraction form
    862,507/1,891,091 = 1,891,091/x
  3. Step 3: Cross multiply
    862,507x = 1,891,091 × 1,891,091
  4. Step 4: Simplify right side
    862,507x = 3,576,225,170,281
  5. Step 5: Solve for x
    x = 3,576,225,170,281/862,507
  6. Step 6: Final answer
    x = 4,146,314.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.