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Finding the Third Proportional to 1,516,716 and 2,291,202

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Solution

The third proportional to 1,516,716 and 2,291,202 is: 3,461,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516,716 : 2,291,202 = 2,291,202 : x
  2. Step 2: Convert to fraction form
    1,516,716/2,291,202 = 2,291,202/x
  3. Step 3: Cross multiply
    1,516,716x = 2,291,202 × 2,291,202
  4. Step 4: Simplify right side
    1,516,716x = 5,249,606,604,804
  5. Step 5: Solve for x
    x = 5,249,606,604,804/1,516,716
  6. Step 6: Final answer
    x = 3,461,166.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.