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Finding the Third Proportional to 676,592,805 and 1,076,603,346

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Solution

The third proportional to 676,592,805 and 1,076,603,346 is: 1,713,105,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,592,805 : 1,076,603,346 = 1,076,603,346 : x
  2. Step 2: Convert to fraction form
    676,592,805/1,076,603,346 = 1,076,603,346/x
  3. Step 3: Cross multiply
    676,592,805x = 1,076,603,346 × 1,076,603,346
  4. Step 4: Simplify right side
    676,592,805x = 1,159,074,764,618,395,648
  5. Step 5: Solve for x
    x = 1,159,074,764,618,395,648/676,592,805
  6. Step 6: Final answer
    x = 1,713,105,365.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.