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Finding the Third Proportional to 992,913 and 2,143,263

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Solution

The third proportional to 992,913 and 2,143,263 is: 4,626,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,913 : 2,143,263 = 2,143,263 : x
  2. Step 2: Convert to fraction form
    992,913/2,143,263 = 2,143,263/x
  3. Step 3: Cross multiply
    992,913x = 2,143,263 × 2,143,263
  4. Step 4: Simplify right side
    992,913x = 4,593,576,287,169
  5. Step 5: Solve for x
    x = 4,593,576,287,169/992,913
  6. Step 6: Final answer
    x = 4,626,363.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.