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Finding the Third Proportional to 1,765,413 and 3,742,687

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Solution

The third proportional to 1,765,413 and 3,742,687 is: 7,934,520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,413 : 3,742,687 = 3,742,687 : x
  2. Step 2: Convert to fraction form
    1,765,413/3,742,687 = 3,742,687/x
  3. Step 3: Cross multiply
    1,765,413x = 3,742,687 × 3,742,687
  4. Step 4: Simplify right side
    1,765,413x = 14,007,705,979,969
  5. Step 5: Solve for x
    x = 14,007,705,979,969/1,765,413
  6. Step 6: Final answer
    x = 7,934,520.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.