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Finding the Third Proportional to 623,146 and 1,355,638

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Solution

The third proportional to 623,146 and 1,355,638 is: 2,949,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,146 : 1,355,638 = 1,355,638 : x
  2. Step 2: Convert to fraction form
    623,146/1,355,638 = 1,355,638/x
  3. Step 3: Cross multiply
    623,146x = 1,355,638 × 1,355,638
  4. Step 4: Simplify right side
    623,146x = 1,837,754,387,044
  5. Step 5: Solve for x
    x = 1,837,754,387,044/623,146
  6. Step 6: Final answer
    x = 2,949,155.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.