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Finding the Third Proportional to 1,435,696.50 and 2,224,127.25

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Solution

The third proportional to 1,435,696.50 and 2,224,127.25 is: 3,445,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,696.50 : 2,224,127.25 = 2,224,127.25 : x
  2. Step 2: Convert to fraction form
    1,435,696.50/2,224,127.25 = 2,224,127.25/x
  3. Step 3: Cross multiply
    1,435,696.50x = 2,224,127.25 × 2,224,127.25
  4. Step 4: Simplify right side
    1,435,696.50x = 4,946,742,024,192.56
  5. Step 5: Solve for x
    x = 4,946,742,024,192.56/1,435,696.50
  6. Step 6: Final answer
    x = 3,445,534.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.