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Finding the Third Proportional to 916,094 and 1,953,940

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Solution

The third proportional to 916,094 and 1,953,940 is: 4,167,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,094 : 1,953,940 = 1,953,940 : x
  2. Step 2: Convert to fraction form
    916,094/1,953,940 = 1,953,940/x
  3. Step 3: Cross multiply
    916,094x = 1,953,940 × 1,953,940
  4. Step 4: Simplify right side
    916,094x = 3,817,881,523,600
  5. Step 5: Solve for x
    x = 3,817,881,523,600/916,094
  6. Step 6: Final answer
    x = 4,167,565.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.