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Finding the Third Proportional to 402,572,619 and 880,518,006

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Solution

The third proportional to 402,572,619 and 880,518,006 is: 1,925,893,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,572,619 : 880,518,006 = 880,518,006 : x
  2. Step 2: Convert to fraction form
    402,572,619/880,518,006 = 880,518,006/x
  3. Step 3: Cross multiply
    402,572,619x = 880,518,006 × 880,518,006
  4. Step 4: Simplify right side
    402,572,619x = 775,311,958,890,216,064
  5. Step 5: Solve for x
    x = 775,311,958,890,216,064/402,572,619
  6. Step 6: Final answer
    x = 1,925,893,422.20

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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.