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Finding the Third Proportional to 1,428,316 and 2,975,000

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Solution

The third proportional to 1,428,316 and 2,975,000 is: 6,196,545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,316 : 2,975,000 = 2,975,000 : x
  2. Step 2: Convert to fraction form
    1,428,316/2,975,000 = 2,975,000/x
  3. Step 3: Cross multiply
    1,428,316x = 2,975,000 × 2,975,000
  4. Step 4: Simplify right side
    1,428,316x = 8,850,625,000,000
  5. Step 5: Solve for x
    x = 8,850,625,000,000/1,428,316
  6. Step 6: Final answer
    x = 6,196,545.44

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.