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Finding the Third Proportional to 711,824 and 1,554,964

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Solution

The third proportional to 711,824 and 1,554,964 is: 3,396,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,824 : 1,554,964 = 1,554,964 : x
  2. Step 2: Convert to fraction form
    711,824/1,554,964 = 1,554,964/x
  3. Step 3: Cross multiply
    711,824x = 1,554,964 × 1,554,964
  4. Step 4: Simplify right side
    711,824x = 2,417,913,041,296
  5. Step 5: Solve for x
    x = 2,417,913,041,296/711,824
  6. Step 6: Final answer
    x = 3,396,784.94

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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.