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Finding the Third Proportional to 686,338 and 1,034,547

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Solution

The third proportional to 686,338 and 1,034,547 is: 1,559,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,338 : 1,034,547 = 1,034,547 : x
  2. Step 2: Convert to fraction form
    686,338/1,034,547 = 1,034,547/x
  3. Step 3: Cross multiply
    686,338x = 1,034,547 × 1,034,547
  4. Step 4: Simplify right side
    686,338x = 1,070,287,495,209
  5. Step 5: Solve for x
    x = 1,070,287,495,209/686,338
  6. Step 6: Final answer
    x = 1,559,417.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.