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Finding the Third Proportional to 582,628,690 and 1,248,361,346

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Solution

The third proportional to 582,628,690 and 1,248,361,346 is: 2,674,784,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,628,690 : 1,248,361,346 = 1,248,361,346 : x
  2. Step 2: Convert to fraction form
    582,628,690/1,248,361,346 = 1,248,361,346/x
  3. Step 3: Cross multiply
    582,628,690x = 1,248,361,346 × 1,248,361,346
  4. Step 4: Simplify right side
    582,628,690x = 1,558,406,050,186,931,712
  5. Step 5: Solve for x
    x = 1,558,406,050,186,931,712/582,628,690
  6. Step 6: Final answer
    x = 2,674,784,261.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.