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Finding the Third Proportional to 742,672 and 1,082,712

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Solution

The third proportional to 742,672 and 1,082,712 is: 1,578,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,672 : 1,082,712 = 1,082,712 : x
  2. Step 2: Convert to fraction form
    742,672/1,082,712 = 1,082,712/x
  3. Step 3: Cross multiply
    742,672x = 1,082,712 × 1,082,712
  4. Step 4: Simplify right side
    742,672x = 1,172,265,274,944
  5. Step 5: Solve for x
    x = 1,172,265,274,944/742,672
  6. Step 6: Final answer
    x = 1,578,442.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.