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Finding the Third Proportional to 970,303,494 and 1,584,250,776

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Solution

The third proportional to 970,303,494 and 1,584,250,776 is: 2,586,665,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,303,494 : 1,584,250,776 = 1,584,250,776 : x
  2. Step 2: Convert to fraction form
    970,303,494/1,584,250,776 = 1,584,250,776/x
  3. Step 3: Cross multiply
    970,303,494x = 1,584,250,776 × 1,584,250,776
  4. Step 4: Simplify right side
    970,303,494x = 2,509,850,521,256,602,112
  5. Step 5: Solve for x
    x = 2,509,850,521,256,602,112/970,303,494
  6. Step 6: Final answer
    x = 2,586,665,447.23

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.