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Finding the Third Proportional to 1,349,669.46 and 2,069,602.52

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Solution

The third proportional to 1,349,669.46 and 2,069,602.52 is: 3,173,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349,669.46 : 2,069,602.52 = 2,069,602.52 : x
  2. Step 2: Convert to fraction form
    1,349,669.46/2,069,602.52 = 2,069,602.52/x
  3. Step 3: Cross multiply
    1,349,669.46x = 2,069,602.52 × 2,069,602.52
  4. Step 4: Simplify right side
    1,349,669.46x = 4,283,254,605,018.87
  5. Step 5: Solve for x
    x = 4,283,254,605,018.87/1,349,669.46
  6. Step 6: Final answer
    x = 3,173,558.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.