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Finding the Third Proportional to 1,604,826 and 2,185,798.50

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Solution

The third proportional to 1,604,826 and 2,185,798.50 is: 2,977,092.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,826 : 2,185,798.50 = 2,185,798.50 : x
  2. Step 2: Convert to fraction form
    1,604,826/2,185,798.50 = 2,185,798.50/x
  3. Step 3: Cross multiply
    1,604,826x = 2,185,798.50 × 2,185,798.50
  4. Step 4: Simplify right side
    1,604,826x = 4,777,715,082,602.25
  5. Step 5: Solve for x
    x = 4,777,715,082,602.25/1,604,826
  6. Step 6: Final answer
    x = 2,977,092.27

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.