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Finding the Third Proportional to 1,341,083 and 2,909,232

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Solution

The third proportional to 1,341,083 and 2,909,232 is: 6,311,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341,083 : 2,909,232 = 2,909,232 : x
  2. Step 2: Convert to fraction form
    1,341,083/2,909,232 = 2,909,232/x
  3. Step 3: Cross multiply
    1,341,083x = 2,909,232 × 2,909,232
  4. Step 4: Simplify right side
    1,341,083x = 8,463,630,829,824
  5. Step 5: Solve for x
    x = 8,463,630,829,824/1,341,083
  6. Step 6: Final answer
    x = 6,311,041.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.