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Finding the Third Proportional to 601,547 and 846,363

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Solution

The third proportional to 601,547 and 846,363 is: 1,190,813.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,547 : 846,363 = 846,363 : x
  2. Step 2: Convert to fraction form
    601,547/846,363 = 846,363/x
  3. Step 3: Cross multiply
    601,547x = 846,363 × 846,363
  4. Step 4: Simplify right side
    601,547x = 716,330,327,769
  5. Step 5: Solve for x
    x = 716,330,327,769/601,547
  6. Step 6: Final answer
    x = 1,190,813.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.