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Finding the Third Proportional to 1,765,459.13 and 3,742,810.88

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Solution

The third proportional to 1,765,459.13 and 3,742,810.88 is: 7,934,838.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,459.13 : 3,742,810.88 = 3,742,810.88 : x
  2. Step 2: Convert to fraction form
    1,765,459.13/3,742,810.88 = 3,742,810.88/x
  3. Step 3: Cross multiply
    1,765,459.13x = 3,742,810.88 × 3,742,810.88
  4. Step 4: Simplify right side
    1,765,459.13x = 14,008,633,246,018.27
  5. Step 5: Solve for x
    x = 14,008,633,246,018.27/1,765,459.13
  6. Step 6: Final answer
    x = 7,934,838.62

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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.