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Finding the Third Proportional to 709,403 and 1,556,776

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Solution

The third proportional to 709,403 and 1,556,776 is: 3,416,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,403 : 1,556,776 = 1,556,776 : x
  2. Step 2: Convert to fraction form
    709,403/1,556,776 = 1,556,776/x
  3. Step 3: Cross multiply
    709,403x = 1,556,776 × 1,556,776
  4. Step 4: Simplify right side
    709,403x = 2,423,551,514,176
  5. Step 5: Solve for x
    x = 2,423,551,514,176/709,403
  6. Step 6: Final answer
    x = 3,416,325.44

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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.