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Finding the Third Proportional to 646,298,838 and 1,023,555,573

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Solution

The third proportional to 646,298,838 and 1,023,555,573 is: 1,621,024,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,298,838 : 1,023,555,573 = 1,023,555,573 : x
  2. Step 2: Convert to fraction form
    646,298,838/1,023,555,573 = 1,023,555,573/x
  3. Step 3: Cross multiply
    646,298,838x = 1,023,555,573 × 1,023,555,573
  4. Step 4: Simplify right side
    646,298,838x = 1,047,666,011,019,358,336
  5. Step 5: Solve for x
    x = 1,047,666,011,019,358,336/646,298,838
  6. Step 6: Final answer
    x = 1,621,024,129.12

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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.