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Finding the Third Proportional to 870,346 and 1,869,252.50

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Solution

The third proportional to 870,346 and 1,869,252.50 is: 4,014,615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,346 : 1,869,252.50 = 1,869,252.50 : x
  2. Step 2: Convert to fraction form
    870,346/1,869,252.50 = 1,869,252.50/x
  3. Step 3: Cross multiply
    870,346x = 1,869,252.50 × 1,869,252.50
  4. Step 4: Simplify right side
    870,346x = 3,494,104,908,756.25
  5. Step 5: Solve for x
    x = 3,494,104,908,756.25/870,346
  6. Step 6: Final answer
    x = 4,014,615.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.