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Finding the Third Proportional to 319,370,217 and 692,947,586

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Solution

The third proportional to 319,370,217 and 692,947,586 is: 1,503,510,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,370,217 : 692,947,586 = 692,947,586 : x
  2. Step 2: Convert to fraction form
    319,370,217/692,947,586 = 692,947,586/x
  3. Step 3: Cross multiply
    319,370,217x = 692,947,586 × 692,947,586
  4. Step 4: Simplify right side
    319,370,217x = 480,176,356,943,227,392
  5. Step 5: Solve for x
    x = 480,176,356,943,227,392/319,370,217
  6. Step 6: Final answer
    x = 1,503,510,131.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.