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Finding the Third Proportional to 751,989 and 1,623,846

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Solution

The third proportional to 751,989 and 1,623,846 is: 3,506,535.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,989 : 1,623,846 = 1,623,846 : x
  2. Step 2: Convert to fraction form
    751,989/1,623,846 = 1,623,846/x
  3. Step 3: Cross multiply
    751,989x = 1,623,846 × 1,623,846
  4. Step 4: Simplify right side
    751,989x = 2,636,875,831,716
  5. Step 5: Solve for x
    x = 2,636,875,831,716/751,989
  6. Step 6: Final answer
    x = 3,506,535.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.