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Finding the Third Proportional to 646,298,846 and 1,023,555,586

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Solution

The third proportional to 646,298,846 and 1,023,555,586 is: 1,621,024,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,298,846 : 1,023,555,586 = 1,023,555,586 : x
  2. Step 2: Convert to fraction form
    646,298,846/1,023,555,586 = 1,023,555,586/x
  3. Step 3: Cross multiply
    646,298,846x = 1,023,555,586 × 1,023,555,586
  4. Step 4: Simplify right side
    646,298,846x = 1,047,666,037,631,803,392
  5. Step 5: Solve for x
    x = 1,047,666,037,631,803,392/646,298,846
  6. Step 6: Final answer
    x = 1,621,024,150.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.