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Finding the Third Proportional to 595,004,476 and 1,285,615,840

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Solution

The third proportional to 595,004,476 and 1,285,615,840 is: 2,777,807,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,004,476 : 1,285,615,840 = 1,285,615,840 : x
  2. Step 2: Convert to fraction form
    595,004,476/1,285,615,840 = 1,285,615,840/x
  3. Step 3: Cross multiply
    595,004,476x = 1,285,615,840 × 1,285,615,840
  4. Step 4: Simplify right side
    595,004,476x = 1,652,808,088,058,905,600
  5. Step 5: Solve for x
    x = 1,652,808,088,058,905,600/595,004,476
  6. Step 6: Final answer
    x = 2,777,807,822.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.