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Finding the Third Proportional to 668,634 and 977,346

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Solution

The third proportional to 668,634 and 977,346 is: 1,428,592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,634 : 977,346 = 977,346 : x
  2. Step 2: Convert to fraction form
    668,634/977,346 = 977,346/x
  3. Step 3: Cross multiply
    668,634x = 977,346 × 977,346
  4. Step 4: Simplify right side
    668,634x = 955,205,203,716
  5. Step 5: Solve for x
    x = 955,205,203,716/668,634
  6. Step 6: Final answer
    x = 1,428,592.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.