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Finding the Third Proportional to 2,602,838 and 5,640,066

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Solution

The third proportional to 2,602,838 and 5,640,066 is: 12,221,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602,838 : 5,640,066 = 5,640,066 : x
  2. Step 2: Convert to fraction form
    2,602,838/5,640,066 = 5,640,066/x
  3. Step 3: Cross multiply
    2,602,838x = 5,640,066 × 5,640,066
  4. Step 4: Simplify right side
    2,602,838x = 31,810,344,484,356
  5. Step 5: Solve for x
    x = 31,810,344,484,356/2,602,838
  6. Step 6: Final answer
    x = 12,221,407.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.