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Finding the Third Proportional to 443,704,020 and 692,417,076

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Solution

The third proportional to 443,704,020 and 692,417,076 is: 1,080,543,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,704,020 : 692,417,076 = 692,417,076 : x
  2. Step 2: Convert to fraction form
    443,704,020/692,417,076 = 692,417,076/x
  3. Step 3: Cross multiply
    443,704,020x = 692,417,076 × 692,417,076
  4. Step 4: Simplify right side
    443,704,020x = 479,441,407,136,389,760
  5. Step 5: Solve for x
    x = 479,441,407,136,389,760/443,704,020
  6. Step 6: Final answer
    x = 1,080,543,302.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.