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Finding the Third Proportional to 742,633 and 1,624,369

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Solution

The third proportional to 742,633 and 1,624,369 is: 3,552,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,633 : 1,624,369 = 1,624,369 : x
  2. Step 2: Convert to fraction form
    742,633/1,624,369 = 1,624,369/x
  3. Step 3: Cross multiply
    742,633x = 1,624,369 × 1,624,369
  4. Step 4: Simplify right side
    742,633x = 2,638,574,648,161
  5. Step 5: Solve for x
    x = 2,638,574,648,161/742,633
  6. Step 6: Final answer
    x = 3,552,999.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.