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Finding the Third Proportional to 713,713 and 1,050,853

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Solution

The third proportional to 713,713 and 1,050,853 is: 1,547,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,713 : 1,050,853 = 1,050,853 : x
  2. Step 2: Convert to fraction form
    713,713/1,050,853 = 1,050,853/x
  3. Step 3: Cross multiply
    713,713x = 1,050,853 × 1,050,853
  4. Step 4: Simplify right side
    713,713x = 1,104,292,027,609
  5. Step 5: Solve for x
    x = 1,104,292,027,609/713,713
  6. Step 6: Final answer
    x = 1,547,249.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.