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Finding the Third Proportional to 693,711,352 and 997,106,700

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Solution

The third proportional to 693,711,352 and 997,106,700 is: 1,433,192,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,711,352 : 997,106,700 = 997,106,700 : x
  2. Step 2: Convert to fraction form
    693,711,352/997,106,700 = 997,106,700/x
  3. Step 3: Cross multiply
    693,711,352x = 997,106,700 × 997,106,700
  4. Step 4: Simplify right side
    693,711,352x = 994,221,771,184,889,984
  5. Step 5: Solve for x
    x = 994,221,771,184,889,984/693,711,352
  6. Step 6: Final answer
    x = 1,433,192,304.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.