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Finding the Third Proportional to 1,856,224 and 2,953,646

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Solution

The third proportional to 1,856,224 and 2,953,646 is: 4,699,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856,224 : 2,953,646 = 2,953,646 : x
  2. Step 2: Convert to fraction form
    1,856,224/2,953,646 = 2,953,646/x
  3. Step 3: Cross multiply
    1,856,224x = 2,953,646 × 2,953,646
  4. Step 4: Simplify right side
    1,856,224x = 8,724,024,693,316
  5. Step 5: Solve for x
    x = 8,724,024,693,316/1,856,224
  6. Step 6: Final answer
    x = 4,699,877.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.