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Finding the Third Proportional to 971,940.09 and 2,159,602.59

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Solution

The third proportional to 971,940.09 and 2,159,602.59 is: 4,798,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,940.09 : 2,159,602.59 = 2,159,602.59 : x
  2. Step 2: Convert to fraction form
    971,940.09/2,159,602.59 = 2,159,602.59/x
  3. Step 3: Cross multiply
    971,940.09x = 2,159,602.59 × 2,159,602.59
  4. Step 4: Simplify right side
    971,940.09x = 4,663,883,362,931.73
  5. Step 5: Solve for x
    x = 4,663,883,362,931.73/971,940.09
  6. Step 6: Final answer
    x = 4,798,529.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.