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Finding the Third Proportional to 1,596,087 and 3,502,323

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Solution

The third proportional to 1,596,087 and 3,502,323 is: 7,685,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,087 : 3,502,323 = 3,502,323 : x
  2. Step 2: Convert to fraction form
    1,596,087/3,502,323 = 3,502,323/x
  3. Step 3: Cross multiply
    1,596,087x = 3,502,323 × 3,502,323
  4. Step 4: Simplify right side
    1,596,087x = 12,266,266,396,329
  5. Step 5: Solve for x
    x = 12,266,266,396,329/1,596,087
  6. Step 6: Final answer
    x = 7,685,211.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.