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Finding the Third Proportional to 808,656,566 and 1,155,588,944

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Solution

The third proportional to 808,656,566 and 1,155,588,944 is: 1,651,363,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,656,566 : 1,155,588,944 = 1,155,588,944 : x
  2. Step 2: Convert to fraction form
    808,656,566/1,155,588,944 = 1,155,588,944/x
  3. Step 3: Cross multiply
    808,656,566x = 1,155,588,944 × 1,155,588,944
  4. Step 4: Simplify right side
    808,656,566x = 1,335,385,807,495,035,136
  5. Step 5: Solve for x
    x = 1,335,385,807,495,035,136/808,656,566
  6. Step 6: Final answer
    x = 1,651,363,339.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.