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Finding the Third Proportional to 2,021,324 and 2,956,746

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Solution

The third proportional to 2,021,324 and 2,956,746 is: 4,325,059.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,324 : 2,956,746 = 2,956,746 : x
  2. Step 2: Convert to fraction form
    2,021,324/2,956,746 = 2,956,746/x
  3. Step 3: Cross multiply
    2,021,324x = 2,956,746 × 2,956,746
  4. Step 4: Simplify right side
    2,021,324x = 8,742,346,908,516
  5. Step 5: Solve for x
    x = 8,742,346,908,516/2,021,324
  6. Step 6: Final answer
    x = 4,325,059.67

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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.