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Finding the Third Proportional to 742,670 and 1,082,709

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Solution

The third proportional to 742,670 and 1,082,709 is: 1,578,438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,670 : 1,082,709 = 1,082,709 : x
  2. Step 2: Convert to fraction form
    742,670/1,082,709 = 1,082,709/x
  3. Step 3: Cross multiply
    742,670x = 1,082,709 × 1,082,709
  4. Step 4: Simplify right side
    742,670x = 1,172,258,778,681
  5. Step 5: Solve for x
    x = 1,172,258,778,681/742,670
  6. Step 6: Final answer
    x = 1,578,438.31

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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.