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Finding the Third Proportional to 856,316 and 1,865,196

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Solution

The third proportional to 856,316 and 1,865,196 is: 4,062,701.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,316 : 1,865,196 = 1,865,196 : x
  2. Step 2: Convert to fraction form
    856,316/1,865,196 = 1,865,196/x
  3. Step 3: Cross multiply
    856,316x = 1,865,196 × 1,865,196
  4. Step 4: Simplify right side
    856,316x = 3,478,956,118,416
  5. Step 5: Solve for x
    x = 3,478,956,118,416/856,316
  6. Step 6: Final answer
    x = 4,062,701.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.