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Finding the Third Proportional to 631,004 and 1,377,658

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Solution

The third proportional to 631,004 and 1,377,658 is: 3,007,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,004 : 1,377,658 = 1,377,658 : x
  2. Step 2: Convert to fraction form
    631,004/1,377,658 = 1,377,658/x
  3. Step 3: Cross multiply
    631,004x = 1,377,658 × 1,377,658
  4. Step 4: Simplify right side
    631,004x = 1,897,941,564,964
  5. Step 5: Solve for x
    x = 1,897,941,564,964/631,004
  6. Step 6: Final answer
    x = 3,007,812.26

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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.