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Finding the Third Proportional to 1,345,160 and 2,814,944

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Solution

The third proportional to 1,345,160 and 2,814,944 is: 5,890,681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345,160 : 2,814,944 = 2,814,944 : x
  2. Step 2: Convert to fraction form
    1,345,160/2,814,944 = 2,814,944/x
  3. Step 3: Cross multiply
    1,345,160x = 2,814,944 × 2,814,944
  4. Step 4: Simplify right side
    1,345,160x = 7,923,909,723,136
  5. Step 5: Solve for x
    x = 7,923,909,723,136/1,345,160
  6. Step 6: Final answer
    x = 5,890,681.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.