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Finding the Third Proportional to 435,240,369 and 919,605,618

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Solution

The third proportional to 435,240,369 and 919,605,618 is: 1,943,005,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,240,369 : 919,605,618 = 919,605,618 : x
  2. Step 2: Convert to fraction form
    435,240,369/919,605,618 = 919,605,618/x
  3. Step 3: Cross multiply
    435,240,369x = 919,605,618 × 919,605,618
  4. Step 4: Simplify right side
    435,240,369x = 845,674,492,657,161,984
  5. Step 5: Solve for x
    x = 845,674,492,657,161,984/435,240,369
  6. Step 6: Final answer
    x = 1,943,005,642.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.