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Finding the Third Proportional to 470,852,394 and 1,013,665,348

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Solution

The third proportional to 470,852,394 and 1,013,665,348 is: 2,182,249,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,852,394 : 1,013,665,348 = 1,013,665,348 : x
  2. Step 2: Convert to fraction form
    470,852,394/1,013,665,348 = 1,013,665,348/x
  3. Step 3: Cross multiply
    470,852,394x = 1,013,665,348 × 1,013,665,348
  4. Step 4: Simplify right side
    470,852,394x = 1,027,517,437,735,961,088
  5. Step 5: Solve for x
    x = 1,027,517,437,735,961,088/470,852,394
  6. Step 6: Final answer
    x = 2,182,249,577.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.