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Finding the Third Proportional to 1,184,408 and 1,688,036

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Solution

The third proportional to 1,184,408 and 1,688,036 is: 2,405,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,408 : 1,688,036 = 1,688,036 : x
  2. Step 2: Convert to fraction form
    1,184,408/1,688,036 = 1,688,036/x
  3. Step 3: Cross multiply
    1,184,408x = 1,688,036 × 1,688,036
  4. Step 4: Simplify right side
    1,184,408x = 2,849,465,537,296
  5. Step 5: Solve for x
    x = 2,849,465,537,296/1,184,408
  6. Step 6: Final answer
    x = 2,405,814.16

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.