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Finding the Third Proportional to 700,416 and 1,025,776

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Solution

The third proportional to 700,416 and 1,025,776 is: 1,502,273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,416 : 1,025,776 = 1,025,776 : x
  2. Step 2: Convert to fraction form
    700,416/1,025,776 = 1,025,776/x
  3. Step 3: Cross multiply
    700,416x = 1,025,776 × 1,025,776
  4. Step 4: Simplify right side
    700,416x = 1,052,216,402,176
  5. Step 5: Solve for x
    x = 1,052,216,402,176/700,416
  6. Step 6: Final answer
    x = 1,502,273.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.