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Finding the Third Proportional to 776,464 and 1,646,240

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Solution

The third proportional to 776,464 and 1,646,240 is: 3,490,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,464 : 1,646,240 = 1,646,240 : x
  2. Step 2: Convert to fraction form
    776,464/1,646,240 = 1,646,240/x
  3. Step 3: Cross multiply
    776,464x = 1,646,240 × 1,646,240
  4. Step 4: Simplify right side
    776,464x = 2,710,106,137,600
  5. Step 5: Solve for x
    x = 2,710,106,137,600/776,464
  6. Step 6: Final answer
    x = 3,490,317.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.