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Finding the Third Proportional to 1,856,232 and 2,953,659

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Solution

The third proportional to 1,856,232 and 2,953,659 is: 4,699,898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856,232 : 2,953,659 = 2,953,659 : x
  2. Step 2: Convert to fraction form
    1,856,232/2,953,659 = 2,953,659/x
  3. Step 3: Cross multiply
    1,856,232x = 2,953,659 × 2,953,659
  4. Step 4: Simplify right side
    1,856,232x = 8,724,101,488,281
  5. Step 5: Solve for x
    x = 8,724,101,488,281/1,856,232
  6. Step 6: Final answer
    x = 4,699,898.23

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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.