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Finding the Third Proportional to 870,932 and 1,866,280

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Solution

The third proportional to 870,932 and 1,866,280 is: 3,999,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,932 : 1,866,280 = 1,866,280 : x
  2. Step 2: Convert to fraction form
    870,932/1,866,280 = 1,866,280/x
  3. Step 3: Cross multiply
    870,932x = 1,866,280 × 1,866,280
  4. Step 4: Simplify right side
    870,932x = 3,483,001,038,400
  5. Step 5: Solve for x
    x = 3,483,001,038,400/870,932
  6. Step 6: Final answer
    x = 3,999,165.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.