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Finding the Third Proportional to 870,140 and 1,868,816

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Solution

The third proportional to 870,140 and 1,868,816 is: 4,013,691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,140 : 1,868,816 = 1,868,816 : x
  2. Step 2: Convert to fraction form
    870,140/1,868,816 = 1,868,816/x
  3. Step 3: Cross multiply
    870,140x = 1,868,816 × 1,868,816
  4. Step 4: Simplify right side
    870,140x = 3,492,473,241,856
  5. Step 5: Solve for x
    x = 3,492,473,241,856/870,140
  6. Step 6: Final answer
    x = 4,013,691.18

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