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Finding the Third Proportional to 527,925,616 and 798,683,237

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Solution

The third proportional to 527,925,616 and 798,683,237 is: 1,208,304,529.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,925,616 : 798,683,237 = 798,683,237 : x
  2. Step 2: Convert to fraction form
    527,925,616/798,683,237 = 798,683,237/x
  3. Step 3: Cross multiply
    527,925,616x = 798,683,237 × 798,683,237
  4. Step 4: Simplify right side
    527,925,616x = 637,894,913,064,798,208
  5. Step 5: Solve for x
    x = 637,894,913,064,798,208/527,925,616
  6. Step 6: Final answer
    x = 1,208,304,529.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.