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Finding the Third Proportional to 1,184,634 and 1,688,343

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Solution

The third proportional to 1,184,634 and 1,688,343 is: 2,406,230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,634 : 1,688,343 = 1,688,343 : x
  2. Step 2: Convert to fraction form
    1,184,634/1,688,343 = 1,688,343/x
  3. Step 3: Cross multiply
    1,184,634x = 1,688,343 × 1,688,343
  4. Step 4: Simplify right side
    1,184,634x = 2,850,502,085,649
  5. Step 5: Solve for x
    x = 2,850,502,085,649/1,184,634
  6. Step 6: Final answer
    x = 2,406,230.18

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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.