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Finding the Third Proportional to 621,664 and 912,097

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Solution

The third proportional to 621,664 and 912,097 is: 1,338,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,664 : 912,097 = 912,097 : x
  2. Step 2: Convert to fraction form
    621,664/912,097 = 912,097/x
  3. Step 3: Cross multiply
    621,664x = 912,097 × 912,097
  4. Step 4: Simplify right side
    621,664x = 831,920,937,409
  5. Step 5: Solve for x
    x = 831,920,937,409/621,664
  6. Step 6: Final answer
    x = 1,338,216.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.