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Finding the Third Proportional to 433,075,282 and 1,022,013,702

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Solution

The third proportional to 433,075,282 and 1,022,013,702 is: 2,411,848,587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,075,282 : 1,022,013,702 = 1,022,013,702 : x
  2. Step 2: Convert to fraction form
    433,075,282/1,022,013,702 = 1,022,013,702/x
  3. Step 3: Cross multiply
    433,075,282x = 1,022,013,702 × 1,022,013,702
  4. Step 4: Simplify right side
    433,075,282x = 1,044,512,007,075,744,768
  5. Step 5: Solve for x
    x = 1,044,512,007,075,744,768/433,075,282
  6. Step 6: Final answer
    x = 2,411,848,587.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.