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Finding the Third Proportional to 1,182,457 and 1,803,209

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Solution

The third proportional to 1,182,457 and 1,803,209 is: 2,749,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,457 : 1,803,209 = 1,803,209 : x
  2. Step 2: Convert to fraction form
    1,182,457/1,803,209 = 1,803,209/x
  3. Step 3: Cross multiply
    1,182,457x = 1,803,209 × 1,803,209
  4. Step 4: Simplify right side
    1,182,457x = 3,251,562,697,681
  5. Step 5: Solve for x
    x = 3,251,562,697,681/1,182,457
  6. Step 6: Final answer
    x = 2,749,835.89

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.