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Finding the Third Proportional to 2,020,464 and 3,136,954.50

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Solution

The third proportional to 2,020,464 and 3,136,954.50 is: 4,870,407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020,464 : 3,136,954.50 = 3,136,954.50 : x
  2. Step 2: Convert to fraction form
    2,020,464/3,136,954.50 = 3,136,954.50/x
  3. Step 3: Cross multiply
    2,020,464x = 3,136,954.50 × 3,136,954.50
  4. Step 4: Simplify right side
    2,020,464x = 9,840,483,535,070.25
  5. Step 5: Solve for x
    x = 9,840,483,535,070.25/2,020,464
  6. Step 6: Final answer
    x = 4,870,407.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.