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Finding the Third Proportional to 651,662 and 1,009,023

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Solution

The third proportional to 651,662 and 1,009,023 is: 1,562,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,662 : 1,009,023 = 1,009,023 : x
  2. Step 2: Convert to fraction form
    651,662/1,009,023 = 1,009,023/x
  3. Step 3: Cross multiply
    651,662x = 1,009,023 × 1,009,023
  4. Step 4: Simplify right side
    651,662x = 1,018,127,414,529
  5. Step 5: Solve for x
    x = 1,018,127,414,529/651,662
  6. Step 6: Final answer
    x = 1,562,355.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.