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Finding the Third Proportional to 970,306,341.75 and 1,584,255,224.25

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Solution

The third proportional to 970,306,341.75 and 1,584,255,224.25 is: 2,586,672,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,306,341.75 : 1,584,255,224.25 = 1,584,255,224.25 : x
  2. Step 2: Convert to fraction form
    970,306,341.75/1,584,255,224.25 = 1,584,255,224.25/x
  3. Step 3: Cross multiply
    970,306,341.75x = 1,584,255,224.25 × 1,584,255,224.25
  4. Step 4: Simplify right side
    970,306,341.75x = 2,509,864,615,563,417,600
  5. Step 5: Solve for x
    x = 2,509,864,615,563,417,600/970,306,341.75
  6. Step 6: Final answer
    x = 2,586,672,381.26

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