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Finding the Third Proportional to 1,525,200 and 3,316,032

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Solution

The third proportional to 1,525,200 and 3,316,032 is: 7,209,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,200 : 3,316,032 = 3,316,032 : x
  2. Step 2: Convert to fraction form
    1,525,200/3,316,032 = 3,316,032/x
  3. Step 3: Cross multiply
    1,525,200x = 3,316,032 × 3,316,032
  4. Step 4: Simplify right side
    1,525,200x = 10,996,068,225,024
  5. Step 5: Solve for x
    x = 10,996,068,225,024/1,525,200
  6. Step 6: Final answer
    x = 7,209,591.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.