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Finding the Third Proportional to 692,499,324 and 1,035,292,520

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Solution

The third proportional to 692,499,324 and 1,035,292,520 is: 1,547,771,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,499,324 : 1,035,292,520 = 1,035,292,520 : x
  2. Step 2: Convert to fraction form
    692,499,324/1,035,292,520 = 1,035,292,520/x
  3. Step 3: Cross multiply
    692,499,324x = 1,035,292,520 × 1,035,292,520
  4. Step 4: Simplify right side
    692,499,324x = 1,071,830,601,967,950,336
  5. Step 5: Solve for x
    x = 1,071,830,601,967,950,336/692,499,324
  6. Step 6: Final answer
    x = 1,547,771,333.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.