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Finding the Third Proportional to 1,411,762 and 2,130,807

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Solution

The third proportional to 1,411,762 and 2,130,807 is: 3,216,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,762 : 2,130,807 = 2,130,807 : x
  2. Step 2: Convert to fraction form
    1,411,762/2,130,807 = 2,130,807/x
  3. Step 3: Cross multiply
    1,411,762x = 2,130,807 × 2,130,807
  4. Step 4: Simplify right side
    1,411,762x = 4,540,338,471,249
  5. Step 5: Solve for x
    x = 4,540,338,471,249/1,411,762
  6. Step 6: Final answer
    x = 3,216,079.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.