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Finding the Third Proportional to 459,902,288 and 689,684,547

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Solution

The third proportional to 459,902,288 and 689,684,547 is: 1,034,273,555.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,902,288 : 689,684,547 = 689,684,547 : x
  2. Step 2: Convert to fraction form
    459,902,288/689,684,547 = 689,684,547/x
  3. Step 3: Cross multiply
    459,902,288x = 689,684,547 × 689,684,547
  4. Step 4: Simplify right side
    459,902,288x = 475,664,774,370,595,200
  5. Step 5: Solve for x
    x = 475,664,774,370,595,200/459,902,288
  6. Step 6: Final answer
    x = 1,034,273,555.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.