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Finding the Third Proportional to 1,429,094 and 3,146,053

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Solution

The third proportional to 1,429,094 and 3,146,053 is: 6,925,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,094 : 3,146,053 = 3,146,053 : x
  2. Step 2: Convert to fraction form
    1,429,094/3,146,053 = 3,146,053/x
  3. Step 3: Cross multiply
    1,429,094x = 3,146,053 × 3,146,053
  4. Step 4: Simplify right side
    1,429,094x = 9,897,649,478,809
  5. Step 5: Solve for x
    x = 9,897,649,478,809/1,429,094
  6. Step 6: Final answer
    x = 6,925,821.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.