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Finding the Third Proportional to 5,830,656 and 8,596,514

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Solution

The third proportional to 5,830,656 and 8,596,514 is: 12,674,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830,656 : 8,596,514 = 8,596,514 : x
  2. Step 2: Convert to fraction form
    5,830,656/8,596,514 = 8,596,514/x
  3. Step 3: Cross multiply
    5,830,656x = 8,596,514 × 8,596,514
  4. Step 4: Simplify right side
    5,830,656x = 73,900,052,952,196
  5. Step 5: Solve for x
    x = 73,900,052,952,196/5,830,656
  6. Step 6: Final answer
    x = 12,674,397.69

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