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Finding the Third Proportional to 596,602,392 and 1,406,357,712

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Solution

The third proportional to 596,602,392 and 1,406,357,712 is: 3,315,176,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,602,392 : 1,406,357,712 = 1,406,357,712 : x
  2. Step 2: Convert to fraction form
    596,602,392/1,406,357,712 = 1,406,357,712/x
  3. Step 3: Cross multiply
    596,602,392x = 1,406,357,712 × 1,406,357,712
  4. Step 4: Simplify right side
    596,602,392x = 1,977,842,014,101,874,944
  5. Step 5: Solve for x
    x = 1,977,842,014,101,874,944/596,602,392
  6. Step 6: Final answer
    x = 3,315,176,138.45

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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.