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Finding the Third Proportional to 971,944.50 and 2,159,611.50

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Solution

The third proportional to 971,944.50 and 2,159,611.50 is: 4,798,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,944.50 : 2,159,611.50 = 2,159,611.50 : x
  2. Step 2: Convert to fraction form
    971,944.50/2,159,611.50 = 2,159,611.50/x
  3. Step 3: Cross multiply
    971,944.50x = 2,159,611.50 × 2,159,611.50
  4. Step 4: Simplify right side
    971,944.50x = 4,663,921,830,932.25
  5. Step 5: Solve for x
    x = 4,663,921,830,932.25/971,944.50
  6. Step 6: Final answer
    x = 4,798,547.48

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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.