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Finding the Third Proportional to 686,547 and 1,495,144

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Solution

The third proportional to 686,547 and 1,495,144 is: 3,256,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,547 : 1,495,144 = 1,495,144 : x
  2. Step 2: Convert to fraction form
    686,547/1,495,144 = 1,495,144/x
  3. Step 3: Cross multiply
    686,547x = 1,495,144 × 1,495,144
  4. Step 4: Simplify right side
    686,547x = 2,235,455,580,736
  5. Step 5: Solve for x
    x = 2,235,455,580,736/686,547
  6. Step 6: Final answer
    x = 3,256,085.28

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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.