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Finding the Third Proportional to 713,710 and 1,050,849

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Solution

The third proportional to 713,710 and 1,050,849 is: 1,547,244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,710 : 1,050,849 = 1,050,849 : x
  2. Step 2: Convert to fraction form
    713,710/1,050,849 = 1,050,849/x
  3. Step 3: Cross multiply
    713,710x = 1,050,849 × 1,050,849
  4. Step 4: Simplify right side
    713,710x = 1,104,283,620,801
  5. Step 5: Solve for x
    x = 1,104,283,620,801/713,710
  6. Step 6: Final answer
    x = 1,547,244.15

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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.