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Finding the Third Proportional to 623,642 and 1,004,316

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Solution

The third proportional to 623,642 and 1,004,316 is: 1,617,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,642 : 1,004,316 = 1,004,316 : x
  2. Step 2: Convert to fraction form
    623,642/1,004,316 = 1,004,316/x
  3. Step 3: Cross multiply
    623,642x = 1,004,316 × 1,004,316
  4. Step 4: Simplify right side
    623,642x = 1,008,650,627,856
  5. Step 5: Solve for x
    x = 1,008,650,627,856/623,642
  6. Step 6: Final answer
    x = 1,617,355.19

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.