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Finding the Third Proportional to 1,465,101 and 3,140,457.75

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Solution

The third proportional to 1,465,101 and 3,140,457.75 is: 6,731,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,101 : 3,140,457.75 = 3,140,457.75 : x
  2. Step 2: Convert to fraction form
    1,465,101/3,140,457.75 = 3,140,457.75/x
  3. Step 3: Cross multiply
    1,465,101x = 3,140,457.75 × 3,140,457.75
  4. Step 4: Simplify right side
    1,465,101x = 9,862,474,879,535.06
  5. Step 5: Solve for x
    x = 9,862,474,879,535.06/1,465,101
  6. Step 6: Final answer
    x = 6,731,600.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.