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Finding the Third Proportional to 742,410 and 1,157,982

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Solution

The third proportional to 742,410 and 1,157,982 is: 1,806,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,410 : 1,157,982 = 1,157,982 : x
  2. Step 2: Convert to fraction form
    742,410/1,157,982 = 1,157,982/x
  3. Step 3: Cross multiply
    742,410x = 1,157,982 × 1,157,982
  4. Step 4: Simplify right side
    742,410x = 1,340,922,312,324
  5. Step 5: Solve for x
    x = 1,340,922,312,324/742,410
  6. Step 6: Final answer
    x = 1,806,174.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.