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Finding the Third Proportional to 706,547 and 1,091,573

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Solution

The third proportional to 706,547 and 1,091,573 is: 1,686,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,547 : 1,091,573 = 1,091,573 : x
  2. Step 2: Convert to fraction form
    706,547/1,091,573 = 1,091,573/x
  3. Step 3: Cross multiply
    706,547x = 1,091,573 × 1,091,573
  4. Step 4: Simplify right side
    706,547x = 1,191,531,614,329
  5. Step 5: Solve for x
    x = 1,191,531,614,329/706,547
  6. Step 6: Final answer
    x = 1,686,415.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.