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Finding the Third Proportional to 1,607,325.40 and 3,438,356.98

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Solution

The third proportional to 1,607,325.40 and 3,438,356.98 is: 7,355,261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607,325.40 : 3,438,356.98 = 3,438,356.98 : x
  2. Step 2: Convert to fraction form
    1,607,325.40/3,438,356.98 = 3,438,356.98/x
  3. Step 3: Cross multiply
    1,607,325.40x = 3,438,356.98 × 3,438,356.98
  4. Step 4: Simplify right side
    1,607,325.40x = 11,822,298,698,276.02
  5. Step 5: Solve for x
    x = 11,822,298,698,276.02/1,607,325.40
  6. Step 6: Final answer
    x = 7,355,261.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.