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Finding the Third Proportional to 623,490 and 1,004,089

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Solution

The third proportional to 623,490 and 1,004,089 is: 1,617,018.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,490 : 1,004,089 = 1,004,089 : x
  2. Step 2: Convert to fraction form
    623,490/1,004,089 = 1,004,089/x
  3. Step 3: Cross multiply
    623,490x = 1,004,089 × 1,004,089
  4. Step 4: Simplify right side
    623,490x = 1,008,194,719,921
  5. Step 5: Solve for x
    x = 1,008,194,719,921/623,490
  6. Step 6: Final answer
    x = 1,617,018.27

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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.