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Finding the Third Proportional to 907,012 and 1,977,328

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Solution

The third proportional to 907,012 and 1,977,328 is: 4,310,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,012 : 1,977,328 = 1,977,328 : x
  2. Step 2: Convert to fraction form
    907,012/1,977,328 = 1,977,328/x
  3. Step 3: Cross multiply
    907,012x = 1,977,328 × 1,977,328
  4. Step 4: Simplify right side
    907,012x = 3,909,826,019,584
  5. Step 5: Solve for x
    x = 3,909,826,019,584/907,012
  6. Step 6: Final answer
    x = 4,310,666.25

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Why These Related Problems?

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