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Finding the Third Proportional to 693,711,146 and 997,106,412

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Solution

The third proportional to 693,711,146 and 997,106,412 is: 1,433,191,902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,711,146 : 997,106,412 = 997,106,412 : x
  2. Step 2: Convert to fraction form
    693,711,146/997,106,412 = 997,106,412/x
  3. Step 3: Cross multiply
    693,711,146x = 997,106,412 × 997,106,412
  4. Step 4: Simplify right side
    693,711,146x = 994,221,196,851,513,728
  5. Step 5: Solve for x
    x = 994,221,196,851,513,728/693,711,146
  6. Step 6: Final answer
    x = 1,433,191,902.11

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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.