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Finding the Third Proportional to 2,087,127 and 4,430,133

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Solution

The third proportional to 2,087,127 and 4,430,133 is: 9,403,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087,127 : 4,430,133 = 4,430,133 : x
  2. Step 2: Convert to fraction form
    2,087,127/4,430,133 = 4,430,133/x
  3. Step 3: Cross multiply
    2,087,127x = 4,430,133 × 4,430,133
  4. Step 4: Simplify right side
    2,087,127x = 19,626,078,397,689
  5. Step 5: Solve for x
    x = 19,626,078,397,689/2,087,127
  6. Step 6: Final answer
    x = 9,403,394.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.