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Finding the Third Proportional to 1,064,232 and 2,312,172

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Solution

The third proportional to 1,064,232 and 2,312,172 is: 5,023,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,232 : 2,312,172 = 2,312,172 : x
  2. Step 2: Convert to fraction form
    1,064,232/2,312,172 = 2,312,172/x
  3. Step 3: Cross multiply
    1,064,232x = 2,312,172 × 2,312,172
  4. Step 4: Simplify right side
    1,064,232x = 5,346,139,357,584
  5. Step 5: Solve for x
    x = 5,346,139,357,584/1,064,232
  6. Step 6: Final answer
    x = 5,023,471.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.