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Finding the Third Proportional to 593,064 and 917,964

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Solution

The third proportional to 593,064 and 917,964 is: 1,420,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,064 : 917,964 = 917,964 : x
  2. Step 2: Convert to fraction form
    593,064/917,964 = 917,964/x
  3. Step 3: Cross multiply
    593,064x = 917,964 × 917,964
  4. Step 4: Simplify right side
    593,064x = 842,657,905,296
  5. Step 5: Solve for x
    x = 842,657,905,296/593,064
  6. Step 6: Final answer
    x = 1,420,854.93

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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.