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Finding the Third Proportional to 1,831,569.75 and 2,692,477.13

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Solution

The third proportional to 1,831,569.75 and 2,692,477.13 is: 3,958,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,569.75 : 2,692,477.13 = 2,692,477.13 : x
  2. Step 2: Convert to fraction form
    1,831,569.75/2,692,477.13 = 2,692,477.13/x
  3. Step 3: Cross multiply
    1,831,569.75x = 2,692,477.13 × 2,692,477.13
  4. Step 4: Simplify right side
    1,831,569.75x = 7,249,433,068,648.27
  5. Step 5: Solve for x
    x = 7,249,433,068,648.27/1,831,569.75
  6. Step 6: Final answer
    x = 3,958,043.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.