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Finding the Third Proportional to 1,880,235 and 2,864,417

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Solution

The third proportional to 1,880,235 and 2,864,417 is: 4,363,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880,235 : 2,864,417 = 2,864,417 : x
  2. Step 2: Convert to fraction form
    1,880,235/2,864,417 = 2,864,417/x
  3. Step 3: Cross multiply
    1,880,235x = 2,864,417 × 2,864,417
  4. Step 4: Simplify right side
    1,880,235x = 8,204,884,749,889
  5. Step 5: Solve for x
    x = 8,204,884,749,889/1,880,235
  6. Step 6: Final answer
    x = 4,363,754.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.