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Finding the Third Proportional to 402,569,526 and 880,511,658

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Solution

The third proportional to 402,569,526 and 880,511,658 is: 1,925,880,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,569,526 : 880,511,658 = 880,511,658 : x
  2. Step 2: Convert to fraction form
    402,569,526/880,511,658 = 880,511,658/x
  3. Step 3: Cross multiply
    402,569,526x = 880,511,658 × 880,511,658
  4. Step 4: Simplify right side
    402,569,526x = 775,300,779,873,908,992
  5. Step 5: Solve for x
    x = 775,300,779,873,908,992/402,569,526
  6. Step 6: Final answer
    x = 1,925,880,449.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.