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Finding the Third Proportional to 454,307,106 and 988,213,482

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Solution

The third proportional to 454,307,106 and 988,213,482 is: 2,149,572,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,307,106 : 988,213,482 = 988,213,482 : x
  2. Step 2: Convert to fraction form
    454,307,106/988,213,482 = 988,213,482/x
  3. Step 3: Cross multiply
    454,307,106x = 988,213,482 × 988,213,482
  4. Step 4: Simplify right side
    454,307,106x = 976,565,886,006,564,352
  5. Step 5: Solve for x
    x = 976,565,886,006,564,352/454,307,106
  6. Step 6: Final answer
    x = 2,149,572,113.46

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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.