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Finding the Third Proportional to 907,010 and 1,977,324

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Solution

The third proportional to 907,010 and 1,977,324 is: 4,310,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,010 : 1,977,324 = 1,977,324 : x
  2. Step 2: Convert to fraction form
    907,010/1,977,324 = 1,977,324/x
  3. Step 3: Cross multiply
    907,010x = 1,977,324 × 1,977,324
  4. Step 4: Simplify right side
    907,010x = 3,909,810,200,976
  5. Step 5: Solve for x
    x = 3,909,810,200,976/907,010
  6. Step 6: Final answer
    x = 4,310,658.32

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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.